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Advances in difference equations, ISSN 1687-1847, 12/2020, Volume 2020, Issue 1
In this paper, we analyze the criteria for the stability of a method suited to the ordinary differential equations models... 
Algorithms | Stability criteria | Differential equations | Solvers | Ordinary differential equations | Stability analysis | Pharmacology | Differentiation | Pharmacokinetics
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 12/2020, Volume 380, p. 112999
We define a birational equivalence of algebraic ordinary differential equations of order one and study two invariant properties related to algebraic general solutions of the differential equations... 
Algebraic ordinary differential equation | Degree bound | Algebraic general solution | Birational equivalence | Autonomous differential equation | RATIONAL SOLUTIONS | MATHEMATICS, APPLIED
Journal Article
Advances in difference equations, ISSN 1687-1847, 12/2020, Volume 2020, Issue 1
... and division of tumour cells. In order to accomplish this, we propose a tumour–immune–vitamins model (TIVM) governed by ordinary differential equations and comprised of two populations, namely tumour and immune cells... 
Side effects | Computer simulation | Differential equations | Ordinary differential equations | Runge-Kutta method | Mathematical models | Division | Organic foods | Beverages | Vitamins | Tumors | Immune system
Journal Article
Advances in difference equations, ISSN 1687-1847, 12/2020, Volume 2020, Issue 1
This paper seeks to unveil the niche of delay differential equation in harmonizing low HIV viral haul and thereby articulating the adopted model, to delve into structured treatment interruptions... 
Ordinary differential equations | Blood | Differential equations | Time lag
Journal Article
Physica A, ISSN 0378-4371, 11/2020, Volume 558, p. 124985
Journal Article
Measurement : journal of the International Measurement Confederation, ISSN 0263-2241, 11/2020, Volume 164, p. 107873
... accuracy of spatiotemporal systems when the system in question is modeled by a partial differential equation... 
Ordinary least squares | Correlated observations | Sensor selection | NETWORK | PARAMETER-ESTIMATION | IDENTIFICATION | INSTRUMENTS & INSTRUMENTATION | PLACEMENT | ENGINEERING, MULTIDISCIPLINARY | MODELS | SUBJECT | SYSTEMS | A-OPTIMAL DESIGN
Journal Article
Applied numerical mathematics, ISSN 0168-9274, 10/2020, Volume 156, pp. 514 - 527
We introduce second derivative two-step collocation methods for the numerical integration of ordinary differential equations... 
Collocation methods | Order conditions | Linear stability | Ordinary differential equation | Second derivative methods | ORDER | MATHEMATICS, APPLIED | RUNGE-KUTTA METHODS | MULTISTEP METHODS | CONSTRUCTION
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2020, Volume 376, p. 112828
Journal Article
Combustion and flame, ISSN 0010-2180, 10/2020, Volume 220, pp. 133 - 143
.... The changes in composition due to chemistry are evaluated by solving ordinary differential equations (ODE... 
Operator-splitting | Computational fluid dynamics | Ordinary differential equation | Chemical kinetics
Journal Article
Revista Facultad de Ingeniería, ISSN 0120-6230, 10/2020, Issue 97, pp. 30 - 40
The Bogotá River is the major river in Cundinamarca and one of the main water streams in the city of Bogotá. Industries from different economic activities have... 
Partial differential equations | Computer simulation | Environmental policy | Tanning | Pollution monitoring | Rivers | River basins | Environmental impact | Dispersion | Tanneries | Creeks & streams | Precipitation | Simulation | Water quality | Humidity | Ordinary differential equations | Water pollution | Pollutants | Environmental monitoring | Public health
Journal Article
Journal of engineering mechanics, ISSN 0733-9399, 09/2020, Volume 146, Issue 9, p. 4020105
AbstractA multiaxial degrading hysteretic model is developed, enabling consistent multiaxial yield/capacity surface evolution with degradations, and is... 
Technical Papers | Equilibrium conditions | Structural members | Computer simulation | Elasticity | Timoshenko beams | Finite element method | Degradation | Interpolation | Mathematical analysis | Differential equations | Ordinary differential equations | Evolution | Plastic properties | Stiffness | Mathematical models | Hysteresis | Locking
Journal Article
Communications in statistics. Theory and methods, ISSN 0361-0926, 09/2020, Volume 49, Issue 17, pp. 4298 - 4312
.... Assuming exponential claim size, the Hamilton-Jacobi-Bellman equation reduces to a first order nonlinear ordinary differential equation, which seems hard to solve explicitly... 
sub-optimal strategies | investment | Insurance risk process | ruin probability | Ordinary differential equations | Investment policy | Differential equations | Investment strategy
Journal Article
Communications on pure and applied mathematics, ISSN 0010-3640, 09/2020, Volume 73, Issue 9, pp. 1831 - 1879
Many real‐world processes and phenomena are modeled using systems of ordinary differential equations with parameters... 
GENSSI | MATHEMATICS | MATHEMATICS, APPLIED | PARAMETER IDENTIFIABILITY | OBSERVABILITY-RECONSTRUCTIBILITY | NONLINEAR-SYSTEMS | STRUCTURAL IDENTIFIABILITY | ALGORITHM | DISTINGUISHABILITY | AMBIGUITIES
Journal Article
Global ecology and biogeography, ISSN 1466-822X, 09/2020, Volume 29, Issue 9, pp. 1554 - 1564
...). Major taxa Scleractinia. Methods We constructed ordinary differential equations representing the preferred light environments of shallow and mesophotic Scleractinia... 
depth gradients | tropical reefs | light | mesophotic coral ecosystems | marine | reef zonation | Coral reefs | Light attenuation | Sensitivity analysis | Environmental changes | Ecology | Attenuation coefficients | Researchers | Light | Applications programs | Differential equations | Problem solving | Ordinary differential equations | Attenuation | Coastal waters | Continuity (mathematics)
Journal Article
Communications in contemporary mathematics, ISSN 0219-1997, 09/2020, Volume 22, Issue 6, p. 1950049
For second-order nonlinear nonautonomous differential equations, new sufficient conditions on the existence of periodic solutions are established. 
Journal Article
Journal of technology & science, ISSN 1944-1894, 08/2020, p. 616
... from the research from Purdue University, "The examples are radial, which allows us to analyze the resolvent kernel in detail using ordinary differential equation techniques... 
Matrix | Ordinary differential equations
Newspaper Article
Journal of technology & science, ISSN 1944-1894, 08/2020, p. 749
... in biology, chemistry, physics, and engineering are systems of polynomial or power-law ordinary differential equations, arising from a reaction network. Such dynamical... 
Applied mathematics | Ordinary differential equations | Dynamical systems
Newspaper Article
Science letter (Atlanta, Ga.), ISSN 1538-9111, 08/2020, p. 2742
..., which consists of three coupled nonlinear ordinary differential equations describing the evolution of slab thickness, grain size, and temperature. With dimensional analysis... 
Grain size | Researchers | Dimensional analysis | Ordinary differential equations | Research | Earth science
Newspaper Article
Energy weekly news, ISSN 1945-6980, 08/2020, p. 149
... Reactor (RMB) is investigated by using the coupled neutronics and thermal hydraulics code NTHC1, which consists of the neutron point kinetics (NPK) equations with six... 
Nuclear energy | Hydraulics | Ordinary differential equations | Nuclear reactors
Newspaper Article
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