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

H.S. Shekarabi; J. Rashidinia

doi:10.1016/j.asej.2016.10.005

Ain Shams Engineering Journal (Dec 2018)

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

H.S. Shekarabi,
J. Rashidinia

Affiliations

H.S. Shekarabi: Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran; School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
J. Rashidinia: Corresponding author.; Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran; School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

DOI: https://doi.org/10.1016/j.asej.2016.10.005
Journal volume & issue: Vol. 9, no. 4
pp. 1601 – 1610

Abstract

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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

Published in Ain Shams Engineering Journal

ISSN: 2090-4479 (Print); 2090-4495 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: https://www.sciencedirect.com/journal/ain-shams-engineering-journal

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