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

Edson Pindza; Jules Clement Mba; Eben Maré; Désirée Moubandjo

doi:10.1515/ijnsns-2016-0089

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

Edson Pindza, Jules Clement Mba, Eben Maré, Désirée Moubandjo

School of Economics

University of Pretoria

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	93-102
Number of pages	10
Journal	International Journal of Nonlinear Sciences and Numerical Simulation
Volume	18
Issue number	1
DOIs	https://doi.org/10.1515/ijnsns-2016-0089
Publication status	Published - 1 Feb 2017

Keywords

Lagrange regularized kernel
exponential integrators
local spectral methods
time-fractional diffusion equations

ASJC Scopus subject areas

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

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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.",

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author = "Edson Pindza and {Clement Mba}, Jules and Eben Mar{\'e} and D{\'e}sir{\'e}e Moubandjo",

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T1 - A Lagrange Regularized Kernel Method for Solving Multi-dimensional Time-Fractional Heat Equations

AU - Pindza, Edson

AU - Clement Mba, Jules

AU - Maré, Eben

AU - Moubandjo, Désirée

PY - 2017/2/1

Y1 - 2017/2/1

N2 - 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.

AB - 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.

KW - Lagrange regularized kernel

KW - exponential integrators

KW - local spectral methods

KW - time-fractional diffusion equations

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JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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