Solution of diffusion equation with local derivative with new parameter

A local derivative with new parameter was used to model diffusion. The modified equation was solved iteratively. Stability of the used method together with the uniqueness of the special solution was studied. An algorithm was proposed to derive the special solution.

Bibliographic Details
Main Authors:	Atangana Abdon, Doungmo-Goufo Emile Franc
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2015-01-01
Series:	Thermal Science
Subjects:	diffusion equation local derivative with new parameter stability convergence
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-983615231A .pdf

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spelling	doaj-ba6ed9d0efea45cea052aade2a95d7a52021-01-02T03:21:31ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632015-01-0119suppl. 123123810.2298/TSCI15S1S31A0354-983615231ASolution of diffusion equation with local derivative with new parameterAtangana Abdon0Doungmo-Goufo Emile Franc1University of the Free State, Institute of Groundwater Studies, Bloemfontein, South AfricaUniversity of South Africa, Department of Mathematical Sciences, Florida, South AfricaA local derivative with new parameter was used to model diffusion. The modified equation was solved iteratively. Stability of the used method together with the uniqueness of the special solution was studied. An algorithm was proposed to derive the special solution.http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-983615231A .pdfdiffusion equationlocal derivative with new parameterstabilityconvergence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Atangana Abdon Doungmo-Goufo Emile Franc
spellingShingle	Atangana Abdon Doungmo-Goufo Emile Franc Solution of diffusion equation with local derivative with new parameter Thermal Science diffusion equation local derivative with new parameter stability convergence
author_facet	Atangana Abdon Doungmo-Goufo Emile Franc
author_sort	Atangana Abdon
title	Solution of diffusion equation with local derivative with new parameter
title_short	Solution of diffusion equation with local derivative with new parameter
title_full	Solution of diffusion equation with local derivative with new parameter
title_fullStr	Solution of diffusion equation with local derivative with new parameter
title_full_unstemmed	Solution of diffusion equation with local derivative with new parameter
title_sort	solution of diffusion equation with local derivative with new parameter
publisher	VINCA Institute of Nuclear Sciences
series	Thermal Science
issn	0354-9836 2334-7163
publishDate	2015-01-01
description	A local derivative with new parameter was used to model diffusion. The modified equation was solved iteratively. Stability of the used method together with the uniqueness of the special solution was studied. An algorithm was proposed to derive the special solution.
topic	diffusion equation local derivative with new parameter stability convergence
url	http://www.doiserbia.nb.rs/img/doi/0354-9836/2015/0354-983615231A .pdf
work_keys_str_mv	AT atanganaabdon solutionofdiffusionequationwithlocalderivativewithnewparameter AT doungmogoufoemilefranc solutionofdiffusionequationwithlocalderivativewithnewparameter
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Solution of diffusion equation with local derivative with new parameter

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