A Lagrange Regularized Kernel Method for Solving Multi-dimensional Time-Fractional Heat Equations-Reference-Cited by-同舟云学术

A Lagrange Regularized Kernel Method for Solving Multi-dimensional Time-Fractional Heat Equations

Published:2017-02-01 Issue:1 Volume:18 Page:93-102
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:
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Author:

Pindza Edson¹,Clement Mba Jules²,Maré Eben³,Moubandjo Désirée⁴

Affiliation:

1. 1Edson Pindza, Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 002, Republic of South Africa,

2. 2Jules Clement Mba, Department of Mathematics and Applied Mathematics, University of Johannesburg, P. O. Box 524, Auckland Park 2006, South Africa

3. 3Eben Maré, Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 002, Republic of South Africa

4. 4Désirée Moubandjo, Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 002, Republic of South Africa,

Abstract

Abstract:Evolution equations containing fractional derivatives can provide suitable mathematical models for describing important physical phenomena. In this paper, we propose an accurate method for numerical solutions of multi-dimensional time-fractional heat equations. The proposed method is based on a fractional exponential integrator scheme in time and the Lagrange regularized kernel method in space. Numerical experiments show the effectiveness of the proposed approach.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2016-0089/pdf

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