The Journal of Pediatrics, ISSN 0022-3476, 12/2019, Volume 215, pp. 32 - 40.e14

To evaluate outcome trends of neonates born very preterm in 11 high-income countries participating in the International Network for Evaluating Outcomes of...

neonatal outcomes | preterm infant | bronchopulmonary dysplasia | low birthweight | retrospective study | BRONCHOPULMONARY DYSPLASIA | MORTALITY | NEW-ZEALAND | VENTILATION | MANAGEMENT | MORBIDITY | INTENSIVE-CARE UNITS | RETINOPATHY | PEDIATRICS | EXTREMELY PREMATURE-INFANTS | PERINATAL-CARE | Hälsovetenskaper | Folkhälsovetenskap, global hälsa, socialmedicin och epidemiologi | Medical and Health Sciences | Medicin och hälsovetenskap | Public Health, Global Health, Social Medicine and Epidemiology | Health Sciences

neonatal outcomes | preterm infant | bronchopulmonary dysplasia | low birthweight | retrospective study | BRONCHOPULMONARY DYSPLASIA | MORTALITY | NEW-ZEALAND | VENTILATION | MANAGEMENT | MORBIDITY | INTENSIVE-CARE UNITS | RETINOPATHY | PEDIATRICS | EXTREMELY PREMATURE-INFANTS | PERINATAL-CARE | Hälsovetenskaper | Folkhälsovetenskap, global hälsa, socialmedicin och epidemiologi | Medical and Health Sciences | Medicin och hälsovetenskap | Public Health, Global Health, Social Medicine and Epidemiology | Health Sciences

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 5/2019, Volume 57, Issue 5, pp. 1314 - 1329

In this paper, we include simultaneously additive and multiplicative noise to the Pais–Uhlenbeck oscillator (PUO). We construct an integral of motion of the...

Additive noise | Theoretical and Computational Chemistry | Pais–Uhlenbeck oscillator | Chemistry | Multiplicative noise | Runge–Kutta method | 60H10 | Physical Chemistry | 93E03 | Integral of motion | 34F05 | Math. Applications in Chemistry | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INVARIANTS | Pais-Uhlenbeck oscillator | SYSTEMS | Runge-Kutta method | CHEMISTRY, MULTIDISCIPLINARY | Hamiltonian systems | Usage | Learning models (Stochastic processes) | Models | Numerical analysis | Noise

Additive noise | Theoretical and Computational Chemistry | Pais–Uhlenbeck oscillator | Chemistry | Multiplicative noise | Runge–Kutta method | 60H10 | Physical Chemistry | 93E03 | Integral of motion | 34F05 | Math. Applications in Chemistry | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | INVARIANTS | Pais-Uhlenbeck oscillator | SYSTEMS | Runge-Kutta method | CHEMISTRY, MULTIDISCIPLINARY | Hamiltonian systems | Usage | Learning models (Stochastic processes) | Models | Numerical analysis | Noise

Journal Article

3.
Full Text
A mathematical model for the pre-diagnostic of glioma growth based on blood glucose levels

Journal of Mathematical Chemistry, ISSN 0259-9791, 3/2018, Volume 56, Issue 3, pp. 687 - 699

In this paper, we propose a stochastic model in which the values of the factors involved in the development of a glioma vary randomly in a biologically...

Theoretical and Computational Chemistry | Glucose decay | Chemistry | Numerical simulations | Physical Chemistry | Pre-diagnostic of glioma | Nonlinear system of ordinary differential equations | Math. Applications in Chemistry | Stochastic noise in dynamical systems | CELLS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | IMMUNOTHERAPY | TUMOR | CHEMISTRY, MULTIDISCIPLINARY | T-LYMPHOCYTES | Prevention | Learning models (Stochastic processes) | Usage | Blood sugar monitoring | Gliomas | Analysis | Differential equations | Diagnosis

Theoretical and Computational Chemistry | Glucose decay | Chemistry | Numerical simulations | Physical Chemistry | Pre-diagnostic of glioma | Nonlinear system of ordinary differential equations | Math. Applications in Chemistry | Stochastic noise in dynamical systems | CELLS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | IMMUNOTHERAPY | TUMOR | CHEMISTRY, MULTIDISCIPLINARY | T-LYMPHOCYTES | Prevention | Learning models (Stochastic processes) | Usage | Blood sugar monitoring | Gliomas | Analysis | Differential equations | Diagnosis

Journal Article

DISCRETE DYNAMICS IN NATURE AND SOCIETY, ISSN 1026-0226, 2017, Volume 2017, pp. 1 - 7

We depart from the well-known one-dimensional Fisher's equation from population dynamics and consider an extension of this model using Riesz fractional...

SYSTEMS | DISCRETIZATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EQUATION | STABILITY | MULTIDISCIPLINARY SCIENCES | Usage | Mathematical models | Models | Population biology | Testing | Studies | Population | Numerical analysis | Research | Partial differential equations | Methods

SYSTEMS | DISCRETIZATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EQUATION | STABILITY | MULTIDISCIPLINARY SCIENCES | Usage | Mathematical models | Models | Population biology | Testing | Studies | Population | Numerical analysis | Research | Partial differential equations | Methods

Journal Article

International Journal of Computer Mathematics: A special collection of papers relating to or containing fractions, ISSN 0020-7160, 02/2019, Volume 96, Issue 2, pp. 337 - 361

In this work, we consider a damped hyperbolic partial differential equation in multiple spatial dimensions with spatial partial derivatives of non-integer...

dissipation-preserving scheme | Riesz fractional derivatives | stability and convergence analysis | 65M06 | 35R11 | 65M12 | Space-fractional wave equation | positive energy invariants | MATHEMATICS, APPLIED | FINITE-DIFFERENCE SCHEMES | SINE-GORDON EQUATION | NUMERICAL-SOLUTION | SYSTEMS | 4TH-ORDER | CONSERVATION-LAWS | PRESERVING METHOD | Partial differential equations | Energy | Energy dissipation | Quantum mechanics | Wave equations | Finite difference method

dissipation-preserving scheme | Riesz fractional derivatives | stability and convergence analysis | 65M06 | 35R11 | 65M12 | Space-fractional wave equation | positive energy invariants | MATHEMATICS, APPLIED | FINITE-DIFFERENCE SCHEMES | SINE-GORDON EQUATION | NUMERICAL-SOLUTION | SYSTEMS | 4TH-ORDER | CONSERVATION-LAWS | PRESERVING METHOD | Partial differential equations | Energy | Energy dissipation | Quantum mechanics | Wave equations | Finite difference method

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 02/2020, Volume 402, p. 109043

•A numerical method to solve multidimensional systems with multiple equations is proposed.•The equations are hyperbolic space-fractional PDEs with coupled...

Discrete fractional energy method | Generalized systems of hyperbolic fractional equations | Complex pattern formation | Parallel computational implementation | Riesz Space-fractional derivatives | Stability and convergence analysis | INSTABILITY | TURING PATTERN-FORMATION | DIFFERENCE SCHEME | CALCULUS | PREDATOR-PREY MODEL | SPATIOTEMPORAL DYNAMICS | PHYSICS, MATHEMATICAL | REACTION-DIFFUSION MODEL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PRESERVING METHOD | WAVE-EQUATIONS | BIFURCATION | Damping | Nonlinear equations | Partial differential equations | Computer simulation | Numerical methods | Wave equations | Organic chemistry | Algorithms | Dependent variables | Physical sciences | Parallel processing | Mathematical models | Nonlinear systems | Finite difference method

Discrete fractional energy method | Generalized systems of hyperbolic fractional equations | Complex pattern formation | Parallel computational implementation | Riesz Space-fractional derivatives | Stability and convergence analysis | INSTABILITY | TURING PATTERN-FORMATION | DIFFERENCE SCHEME | CALCULUS | PREDATOR-PREY MODEL | SPATIOTEMPORAL DYNAMICS | PHYSICS, MATHEMATICAL | REACTION-DIFFUSION MODEL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PRESERVING METHOD | WAVE-EQUATIONS | BIFURCATION | Damping | Nonlinear equations | Partial differential equations | Computer simulation | Numerical methods | Wave equations | Organic chemistry | Algorithms | Dependent variables | Physical sciences | Parallel processing | Mathematical models | Nonlinear systems | Finite difference method

Journal Article

International Journal of Computer Mathematics: Recent Trends in Highly Accurate and Structure-Preserving Numerical Methods for Partial Differential Equations, ISSN 0020-7160, 01/2018, Volume 95, Issue 1, pp. 3 - 19

In this work, we consider the classical Burgers-Huxley partial differential equation defined on a closed and bounded interval of the real line. For this model,...

boundedness preservation | modified Bhattacharya method | 65Q10 | positivity preservation | Exponential technique | Burgers-Huxley equation | 65M06 | structure-preserving method | monotonicity preservation | 65M22 | Burgers–Huxley equation | MATHEMATICS, APPLIED | CONVECTION | STABILITY | HOMOTOPY PERTURBATION METHOD | FINITE | CONSERVATION | NUMERICAL-SOLUTIONS | PARTIAL-DIFFERENTIAL EQUATIONS | SOLITARY WAVE SOLUTIONS | SCHEMES | Mathematical models | Singularities | Partial differential equations | Computer simulation | Existence theorems | Numerical methods

boundedness preservation | modified Bhattacharya method | 65Q10 | positivity preservation | Exponential technique | Burgers-Huxley equation | 65M06 | structure-preserving method | monotonicity preservation | 65M22 | Burgers–Huxley equation | MATHEMATICS, APPLIED | CONVECTION | STABILITY | HOMOTOPY PERTURBATION METHOD | FINITE | CONSERVATION | NUMERICAL-SOLUTIONS | PARTIAL-DIFFERENTIAL EQUATIONS | SOLITARY WAVE SOLUTIONS | SCHEMES | Mathematical models | Singularities | Partial differential equations | Computer simulation | Existence theorems | Numerical methods

Journal Article

International Journal of Modern Physics D, ISSN 0218-2718, 05/2018, Volume 27, Issue 7, p. 1850072

In this work, we consider the propagation speed of the superenergy flux associated to the Einstein–Rosen cylindrical waves propagating in vacuum and over the...

Bel-Robinson tensor | gravito-electromagnetism | reference frame theory | Einstein-Rosen waves | Weber-Wheeler-Bonnor pulse | ENERGY | GENERAL-RELATIVITY | GRAVITATIONAL-WAVES | ASTRONOMY & ASTROPHYSICS | COLLISION | WEYL | Wave propagation

Bel-Robinson tensor | gravito-electromagnetism | reference frame theory | Einstein-Rosen waves | Weber-Wheeler-Bonnor pulse | ENERGY | GENERAL-RELATIVITY | GRAVITATIONAL-WAVES | ASTRONOMY & ASTROPHYSICS | COLLISION | WEYL | Wave propagation

Journal Article

The European Physical Journal Plus, ISSN 2190-5444, 7/2019, Volume 134, Issue 7, pp. 1 - 9

Departing from a two-dimensional hyperbolic system that describes the interaction between some activator and inhibitor substances in chemical reactions, we...

Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | SCHEME | PHYSICS, MULTIDISCIPLINARY | WAVE-EQUATIONS | EFFICIENT

Condensed Matter Physics | Atomic, Molecular, Optical and Plasma Physics | Applied and Technical Physics | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | SCHEME | PHYSICS, MULTIDISCIPLINARY | WAVE-EQUATIONS | EFFICIENT

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 03/2019, Volume 57, Issue 3, pp. 790 - 811

In this work, we review various nonlinear systems with fractional derivatives of the Riesz type in space. Concretely, we consider partial differential...

Numerical simulations | Energy-preserving methods | Riesz fractional derivatives | Nonlinear supratransmission | Fractional wave equation | ENERGY | 65Q10 | EXTENSIONS | 65M06 | EQUATIONS | 34K37 | CHEMISTRY, MULTIDISCIPLINARY | TRANSMISSION | THRESHOLD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | 65M12 | LATTICE | GUIDE ARRAYS | Nonlinear theories | Research | Differential equations, Partial | Mathematical research | Laplacian operator

Numerical simulations | Energy-preserving methods | Riesz fractional derivatives | Nonlinear supratransmission | Fractional wave equation | ENERGY | 65Q10 | EXTENSIONS | 65M06 | EQUATIONS | 34K37 | CHEMISTRY, MULTIDISCIPLINARY | TRANSMISSION | THRESHOLD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | 65M12 | LATTICE | GUIDE ARRAYS | Nonlinear theories | Research | Differential equations, Partial | Mathematical research | Laplacian operator

Journal Article

Journal of Mathematical Chemistry, ISSN 0259-9791, 9/2019, Volume 57, Issue 8, pp. 1902 - 1923

Departing from a two-dimensional hyperbolic system that describes the interaction between some activator and inhibitor substances in chemical reactions, we...

Convergence and stability | Discrete energy method | 65Q10 | Fully explicit finite-difference method | 65M06 | 34K37 | Activator–inhibitor system | Theoretical and Computational Chemistry | Anomalously diffusive hyperbolic system | Chemistry | Pattern formation in molecular dynamics | Physical Chemistry | 65M12 | Math. Applications in Chemistry | HYPERBOLIC REACTION | PREDATOR-PREY MODEL | SPATIOTEMPORAL DYNAMICS | CHEMISTRY, MULTIDISCIPLINARY | PATTERN-FORMATION | PHASE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Activator-inhibitor system | TURING PATTERNS | PRESERVING METHOD | WAVE-EQUATIONS | NUMERICAL-SIMULATION | BIFURCATION | Usage | Mathematical research | Chemical reactions | Nonlinear theories | Models | Mathematical models | Research

Convergence and stability | Discrete energy method | 65Q10 | Fully explicit finite-difference method | 65M06 | 34K37 | Activator–inhibitor system | Theoretical and Computational Chemistry | Anomalously diffusive hyperbolic system | Chemistry | Pattern formation in molecular dynamics | Physical Chemistry | 65M12 | Math. Applications in Chemistry | HYPERBOLIC REACTION | PREDATOR-PREY MODEL | SPATIOTEMPORAL DYNAMICS | CHEMISTRY, MULTIDISCIPLINARY | PATTERN-FORMATION | PHASE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | Activator-inhibitor system | TURING PATTERNS | PRESERVING METHOD | WAVE-EQUATIONS | NUMERICAL-SIMULATION | BIFURCATION | Usage | Mathematical research | Chemical reactions | Nonlinear theories | Models | Mathematical models | Research

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 10/2018, Volume 77, Issue 1, pp. 1 - 26

This work is motivated by the investigation of a fractional extension of a general nonlinear multidimensional wave equation with damping. The model under study...

Computational Mathematics and Numerical Analysis | Dissipative fractional wave equation | 65Q10 | Riesz fractional derivatives | Theoretical, Mathematical and Computational Physics | 65M06 | 34K37 | Mathematics | Numerical efficiency | Algorithms | Dissipation-preserving method | Mathematical and Computational Engineering | Implicit finite-difference scheme | 65M12 | MATHEMATICS, APPLIED | FINITE-DIFFERENCE SCHEMES | DIFFUSION-EQUATIONS | SYSTEMS | CONSERVATION-LAWS | Employee motivation | Analysis | Methods

Computational Mathematics and Numerical Analysis | Dissipative fractional wave equation | 65Q10 | Riesz fractional derivatives | Theoretical, Mathematical and Computational Physics | 65M06 | 34K37 | Mathematics | Numerical efficiency | Algorithms | Dissipation-preserving method | Mathematical and Computational Engineering | Implicit finite-difference scheme | 65M12 | MATHEMATICS, APPLIED | FINITE-DIFFERENCE SCHEMES | DIFFUSION-EQUATIONS | SYSTEMS | CONSERVATION-LAWS | Employee motivation | Analysis | Methods

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 06/2019, Volume 71, pp. 22 - 37

•The existence of invariants for a fractional Klein–Gordon–Zakharov equation is established.•A second-order numerical model is proposed to solve the continuous...

Energy-conserving method | Conservation of energy | Fractional-order centered differences | Fractional Klein–Gordon–Zakharov equations | Riesz space-fractional equations | Numerical efficiency analysis | Fractional Klein-Gordon-Zakharov equations | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | WELL-POSEDNESS | PHYSICS, MATHEMATICAL | SCHEME | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SUPRATRANSMISSION | PRESERVING METHOD | KUZNETSOV EQUATION | WAVE-EQUATIONS | SCATTERING

Energy-conserving method | Conservation of energy | Fractional-order centered differences | Fractional Klein–Gordon–Zakharov equations | Riesz space-fractional equations | Numerical efficiency analysis | Fractional Klein-Gordon-Zakharov equations | MATHEMATICS, APPLIED | PHYSICS, FLUIDS & PLASMAS | WELL-POSEDNESS | PHYSICS, MATHEMATICAL | SCHEME | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SUPRATRANSMISSION | PRESERVING METHOD | KUZNETSOV EQUATION | WAVE-EQUATIONS | SCATTERING

Journal Article

Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 06/2018, Volume 59, pp. 67 - 87

•The existence of energy invariants for a multidimensional nonlinear wave equation with Riesz fractional derivatives is established.•An explicit...

Dissipative fractional wave equation | Stability and convergence analyses | Riesz space-fractional equations | Dissipation-preserving method | MATHEMATICS, APPLIED | FINITE-DIFFERENCE SCHEMES | PHYSICS, FLUIDS & PLASMAS | TIME | DIFFUSION EQUATION | PHYSICS, MATHEMATICAL | LAPLACIAN | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MODELS | SYSTEMS | Numerical analysis | Analysis | Methods | Differential equations

Dissipative fractional wave equation | Stability and convergence analyses | Riesz space-fractional equations | Dissipation-preserving method | MATHEMATICS, APPLIED | FINITE-DIFFERENCE SCHEMES | PHYSICS, FLUIDS & PLASMAS | TIME | DIFFUSION EQUATION | PHYSICS, MATHEMATICAL | LAPLACIAN | NUMERICAL-SOLUTION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | MODELS | SYSTEMS | Numerical analysis | Analysis | Methods | Differential equations

Journal Article

Journal of Difference Equations and Applications, ISSN 1023-6198, 04/2017, Volume 23, Issue 4, pp. 799 - 820

Departing from a general stochastic differential equation with Brownian diffusion, we establish that the distribution of probability of the stopping time is...

65C20 | 35K20 | 35C05 | Stochastic differential equations | nonlinear partial differential equations | probability distribution of hitting time | Paris' equation | 65N06 | dynamic consistency | Mickens-type finite-difference method | analysis of convergence | Paris’ equation | MATHEMATICS, APPLIED | STABILITY | PRINCIPLE | FRACTURE-MECHANICS LEFM | DISCRETIZATION | BURGERS-HUXLEY EQUATION | APPROXIMATE | MONOTONE | BOUNDED SOLUTIONS | FATIGUE-CRACK-GROWTH | SCHEMES | Boundary value problems | Fracture mechanics | Partial differential equations | Probability theory | Exact solutions | Differential equations | Randomness | Probability distribution | Fatigue failure | Convergence | Crack propagation | Finite difference method

65C20 | 35K20 | 35C05 | Stochastic differential equations | nonlinear partial differential equations | probability distribution of hitting time | Paris' equation | 65N06 | dynamic consistency | Mickens-type finite-difference method | analysis of convergence | Paris’ equation | MATHEMATICS, APPLIED | STABILITY | PRINCIPLE | FRACTURE-MECHANICS LEFM | DISCRETIZATION | BURGERS-HUXLEY EQUATION | APPROXIMATE | MONOTONE | BOUNDED SOLUTIONS | FATIGUE-CRACK-GROWTH | SCHEMES | Boundary value problems | Fracture mechanics | Partial differential equations | Probability theory | Exact solutions | Differential equations | Randomness | Probability distribution | Fatigue failure | Convergence | Crack propagation | Finite difference method

Journal Article

International Journal of Modern Physics C, ISSN 0129-1831, 01/2019, Volume 30, Issue 1, p. 1950005

Electromyograms are biomedical signals which are detected through electrodes. These signals represent measurements of the electric potentials associated to...

COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | computational medical signal processing | open-source package | SURFACE EMG SIGNALS | CLASSIFICATION | ELECTROMYOGRAM | Electromyogram signals | PHYSICS, MATHEMATICAL

COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | computational medical signal processing | open-source package | SURFACE EMG SIGNALS | CLASSIFICATION | ELECTROMYOGRAM | Electromyogram signals | PHYSICS, MATHEMATICAL

Journal Article

International Journal of Computational Methods, ISSN 0219-8762, 12/2012, Volume 9, Issue 4, pp. np - np

In this work, we present a simple, finite-difference method to approximate positive and bounded solutions of a parabolic partial differential equation with...

finite-difference method | linear discretization | Biofilm model | boundedness | positivity | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | NAGUMO EQUATION | Algorithms | Approximation | Computer simulation | Computation | Mathematical analysis | Preserves | Bacteria | Mathematical models

finite-difference method | linear discretization | Biofilm model | boundedness | positivity | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | NAGUMO EQUATION | Algorithms | Approximation | Computer simulation | Computation | Mathematical analysis | Preserves | Bacteria | Mathematical models

Journal Article

Computer Physics Communications, ISSN 0010-4655, 03/2018, Volume 224, pp. 98 - 107

In this work, we investigate a general nonlinear wave equation with Riesz space-fractional derivatives that generalizes various classical hyperbolic models,...

Energy-preserving finite-difference scheme | Riesz space-fractional derivatives | Nonlinear relativistic wave equation | Nonlinear supratransmission | FINITE-DIFFERENCE SCHEMES | CALCULUS | SIMULATION | PHYSICS, MATHEMATICAL | FLOW | NUMERICAL-SOLUTION | TRANSMISSION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONSERVATION | MASS | SUPRATRANSMISSION | GUIDE ARRAYS

Energy-preserving finite-difference scheme | Riesz space-fractional derivatives | Nonlinear relativistic wave equation | Nonlinear supratransmission | FINITE-DIFFERENCE SCHEMES | CALCULUS | SIMULATION | PHYSICS, MATHEMATICAL | FLOW | NUMERICAL-SOLUTION | TRANSMISSION | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | CONSERVATION | MASS | SUPRATRANSMISSION | GUIDE ARRAYS

Journal Article

Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2007, Volume 228, Issue 2, pp. 112 - 121

In the present work, we explore efficient ways to transmit binary information in discrete, semi-infinite chains of coupled oscillators using the process of...

Finite-difference scheme | Sine–Gordon equation | Nonlinear chains of oscillators | Nonlinear supratransmission | Sine-Gordon equation | MATHEMATICS, APPLIED | nonlinear supratransmission | PHYSICS, MULTIDISCIPLINARY | nonlinear chains of oscillators | GAP | finite-difference scheme | PHYSICS, MATHEMATICAL

Finite-difference scheme | Sine–Gordon equation | Nonlinear chains of oscillators | Nonlinear supratransmission | Sine-Gordon equation | MATHEMATICS, APPLIED | nonlinear supratransmission | PHYSICS, MULTIDISCIPLINARY | nonlinear chains of oscillators | GAP | finite-difference scheme | PHYSICS, MATHEMATICAL

Journal Article

International Journal of Modern Physics C, ISSN 0129-1831, 09/2019, Volume 30, Issue 9, p. 1950065

In this work, we investigate a numerical diffusion equation with nonlinear reaction, defined spatially over a closed and bounded interval of the real line. The...

CONSISTENCY | TRAVELING-WAVE SOLUTIONS | SOLITARY WAVE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | implicit logarithmic scheme | FINITE-DIFFERENCE SCHEMES | CONSERVATION | structure-preserving method | Reaction-diffusion equations | numerical effciency analysis | PRESERVING METHOD | PHYSICS, MATHEMATICAL | Analysis | Numerical analysis

CONSISTENCY | TRAVELING-WAVE SOLUTIONS | SOLITARY WAVE | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | implicit logarithmic scheme | FINITE-DIFFERENCE SCHEMES | CONSERVATION | structure-preserving method | Reaction-diffusion equations | numerical effciency analysis | PRESERVING METHOD | PHYSICS, MATHEMATICAL | Analysis | Numerical analysis

Journal Article