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Applied Mathematical Modelling, ISSN 0307-904X, 10/2018, Volume 62, pp. 629 - 637
•Fractional dual-phase-lag model is proposed to analyze the diffusion in comb model.•Solutions are obtained analytically with Laplace and Fourier... 
Constitutive equation | Comb model | Relaxation parameter | Anomalous diffusion | Fractional derivative | CELLS | FOURIER HEAT-CONDUCTION | CATTANEO-CHRISTOV FLUX | PROCESSED MEAT | TRANSPORT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | EQUATION
Journal Article
Waves in Random and Complex Media, ISSN 1745-5030, 03/2020, pp. 1 - 24
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 02/2015, Volume 81, pp. 347 - 354
For effective medical treatment processes, to understand the evolution of thermal responses in the biological tissues is important. Therefore, a non-Fourier... 
Dual phase lag | Laser irradiation | Thermal damage | Non-Fourier | BEHAVIOR | MODEL | DAMAGE | ENGINEERING, MECHANICAL | TRANSPORT | MECHANICS | THERMODYNAMICS | CONDUCTION | BIO-HEAT TRANSFER | LASER-IRRADIATED TISSUE | Evolution | Analysis | Mathematical analysis | Nonlinearity | Mathematical models | Derivatives | Biological | Phase lag | Damage | Heat transfer
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 12/2016, Volume 13, Issue 6, pp. 5177 - 5194
In this paper, we will develop a four-stage high algebraic order symmetric two-step method with vanished phase-lag and its first up to the fourth derivative.... 
initial value problems | hybrid | Primary 65L05 | multistep | Mathematics, general | Mathematics | derivative of the phase-lag | Phase-lag | oscillating solution | symmetric | Schrödinger equation | ORBITAL PROBLEMS | MATHEMATICS, APPLIED | INITIAL-VALUE-PROBLEMS | MATHEMATICS | Schrodinger equation | LAG | MULTISTEP METHODS | INTEGRATION | SCATTERING
Journal Article
Journal of Computational and Theoretical Nanoscience, ISSN 1546-1955, 04/2014, Volume 11, Issue 4, pp. 987 - 992
The present investigation deals with the thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a cylindrical cavity. The... 
Anisotropic | Generalized Thermoelasticity | Finite Element Method | Fiber-Reinforced | Three-Phase Lag | PHYSICS, CONDENSED MATTER | MAGNETOELASTIC SHEAR-WAVES | SURFACE | PROPAGATION | Anisotropy | Mathematical analysis | Fiber composites | Reinforcement | Holes | Mathematical models | Nanostructure | Derivatives
Journal Article
Journal of Thermal Stresses, ISSN 0149-5739, 11/2019, Volume 42, Issue 11, pp. 1415 - 1431
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 2008, Volume 1048, Issue 1, pp. 1020 - 1025
In this paper we consider the fitting of the coefficients of a numerical method, not only due to the nullification of the phase-lag, but also to its... 
Oscillating solution | Initial value problems | Multistep | Derivatives | Phase-lag | MATHEMATICAL SOLUTIONS | NUMERICAL ANALYSIS | ERRORS | WAVE EQUATIONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CALCULATION METHODS | ALGEBRA | OSCILLATIONS
Conference Proceeding
Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 213, Issue 1, pp. 153 - 162
Journal Article
Journal of Thermal Stresses, ISSN 0149-5739, 07/2019, Volume 42, Issue 7, pp. 874 - 889
The present study deals with the thermoelastic interaction in a semi-infinite elastic solid with a heat source in the context of three-phase-lag model with... 
Laplace transform | memory-dependent derivative | three-phase-lag model | vector-matrix differential equation | Generalized thermoelasticity | MECHANICS | THERMODYNAMICS
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 07/2018, Volume 1978, Issue 1
In this work we consider Two Derivative Runge-Kutta methods. We construct methods with constant coefficients and special properties as minimum phase-lag and... 
phase lag | amplification error | Two Derivative Runge Kutta methods | Amplification | Runge-Kutta method | Phase lag
Journal Article