Approximate Analytical Solution of Time-fractional order Cauchy-Reaction Diffusion equation

The objective of this article is to carry out an approximate analytical solution of the time fractional order Cauchy-reaction diffusion equation by using a semi analytical method referred as the fractional-order reduced differential transform method (FRDTM). The fractional derivative is illustrated...

Full description

Saved in:
Bibliographic Details
Published inComputer modeling in engineering & sciences Vol. 103; no. 1; pp. 1 - 17
Main Authors Shukla, H S, Tamsir, Mohammad, Srivastava, Vineet K, Kumar, Jai
Format Journal Article
LanguageEnglish
Published Henderson Tech Science Press 2014
Subjects
Approximation
Computational efficiency
Derivatives
Differential equations
Diffusion
Exact solutions
Mathematical analysis
Mathematical models
Reaction-diffusion equations
Online AccessGet full text

Cover

More Information
Summary:The objective of this article is to carry out an approximate analytical solution of the time fractional order Cauchy-reaction diffusion equation by using a semi analytical method referred as the fractional-order reduced differential transform method (FRDTM). The fractional derivative is illustrated in the Caputo sense. The FRDTM is very efficient and effective powerful mathematical tool for solving wide range of real world physical problems by providing an exact or a closed approximate solution of any differential equation arising in engineering and allied sciences. Four test numerical examples are provided to validate and illustrate the efficiency of FRDTM.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2014.103.001