Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation

Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation

In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation. For nonlinear term, nonstandard finite difference method by nonlocal approximation is utilized. We describe the m...

Full description

Bibliographic Details
Main Authors: H.S. Shekarabi, J. Rashidinia
Format: Article
Language:English
Published: Elsevier 2018-12-01
Series:Ain Shams Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447916301484
id doaj-13124f24925e47748400a06cfbba5bea
record_format Article
spelling doaj-13124f24925e47748400a06cfbba5bea2021-06-02T04:07:24ZengElsevierAin Shams Engineering Journal2090-44792018-12-019416011610Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equationH.S. Shekarabi0J. Rashidinia1Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran; School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, IranCorresponding author.; Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran; School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, IranIn this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation. For nonlinear term, nonstandard finite difference method by nonlocal approximation is utilized. We describe the mathematical formulation procedure in detail and also analyze the stability and convergence of the method. Numerical results are provided to justify the good performance of the proposed scheme. Keywords: Convection-Reaction-Diffusion equation, Tension spline, Nonstandard finite difference, Implicit scheme, Convergence analysis, MSC: 65M06, 12, 99http://www.sciencedirect.com/science/article/pii/S2090447916301484
collection DOAJ
language English
format Article
sources DOAJ
author H.S. Shekarabi
J. Rashidinia
spellingShingle H.S. Shekarabi
J. Rashidinia
Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
Ain Shams Engineering Journal
author_facet H.S. Shekarabi
J. Rashidinia
author_sort H.S. Shekarabi
title Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
title_short Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
title_full Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
title_fullStr Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
title_full_unstemmed Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation
title_sort three level implicit tension spline scheme for solution of convection-reaction-diffusion equation
publisher Elsevier
series Ain Shams Engineering Journal
issn 2090-4479
publishDate 2018-12-01
description In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation. For nonlinear term, nonstandard finite difference method by nonlocal approximation is utilized. We describe the mathematical formulation procedure in detail and also analyze the stability and convergence of the method. Numerical results are provided to justify the good performance of the proposed scheme. Keywords: Convection-Reaction-Diffusion equation, Tension spline, Nonstandard finite difference, Implicit scheme, Convergence analysis, MSC: 65M06, 12, 99
url http://www.sciencedirect.com/science/article/pii/S2090447916301484
work_keys_str_mv AT hsshekarabi threelevelimplicittensionsplineschemeforsolutionofconvectionreactiondiffusionequation
AT jrashidinia threelevelimplicittensionsplineschemeforsolutionofconvectionreactiondiffusionequation
_version_ 1721408587485413376

Similar Items