Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform

Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform

By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented. The fractional order operators are well suited to handle by Laplace transform and radial kernels are also built for high dimensions...

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Bibliographic Details
Main Authors: Muhammad Taufiq, Marjan Uddin
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/9965734
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spelling doaj-e78c7abec255436fb801452589e192da2021-07-19T01:03:43ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/9965734Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and TransformMuhammad Taufiq0Marjan Uddin1University of Engineering and Technology PeshawarUniversity of Engineering and Technology PeshawarBy coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented. The fractional order operators are well suited to handle by Laplace transform and radial kernels are also built for high dimensions. The numerical computations of inverse Laplace transform are carried out by contour integration technique. The computation can be done in parallel and no time sensitivity is involved in approximating the time fractional operator as contrary to finite differences. The proposed numerical scheme is stable and accurate.http://dx.doi.org/10.1155/2021/9965734
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Taufiq
Marjan Uddin
spellingShingle Muhammad Taufiq
Marjan Uddin
Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform
Journal of Mathematics
author_facet Muhammad Taufiq
Marjan Uddin
author_sort Muhammad Taufiq
title Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform
title_short Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform
title_full Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform
title_fullStr Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform
title_full_unstemmed Numerical Solution of Fractional Order Anomalous Subdiffusion Problems Using Radial Kernels and Transform
title_sort numerical solution of fractional order anomalous subdiffusion problems using radial kernels and transform
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description By coupling of radial kernels and localized Laplace transform, a numerical scheme for the approximation of time fractional anomalous subdiffusion problems is presented. The fractional order operators are well suited to handle by Laplace transform and radial kernels are also built for high dimensions. The numerical computations of inverse Laplace transform are carried out by contour integration technique. The computation can be done in parallel and no time sensitivity is involved in approximating the time fractional operator as contrary to finite differences. The proposed numerical scheme is stable and accurate.
url http://dx.doi.org/10.1155/2021/9965734
work_keys_str_mv AT muhammadtaufiq numericalsolutionoffractionalorderanomaloussubdiffusionproblemsusingradialkernelsandtransform
AT marjanuddin numericalsolutionoffractionalorderanomaloussubdiffusionproblemsusingradialkernelsandtransform
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