Approximate series solution of multi-dimensional, time fractional-order (heat-like) diffusion equations using FRDTM | Zendy

Brajesh Kumar Singh | Zendy; Vineet K. Srivastava | Zendy

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Approximate series solution of multi-dimensional, time fractional-order (heat-like) diffusion equations using FRDTM

Author(s) -

Brajesh Kumar Singh,

Vineet K. Srivastava

Publication year - 2015

Publication title -

royal society open science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.84

H-Index - 51

ISSN - 2054-5703

DOI - 10.1098/rsos.140511

Subject(s) - fractional calculus , series (stratigraphy) , heat equation , diffusion equation , diffusion , mathematics , range (aeronautics) , differential equation , order (exchange) , mathematical analysis , physics , paleontology , materials science , economy , finance , economics , composite material , biology , service (business) , thermodynamics

The main goal of this paper is to present a new approximate series solution of the multi-dimensional (heat-like) diffusion equation with time-fractional derivative in Caputo form using a semi-analytical approach: fractional-order reduced differential transform method (FRDTM). The efficiency of FRDTM is confirmed by considering four test problems of the multi-dimensional time fractional-order diffusion equation. FRDTM is a very efficient, effective and powerful mathematical tool which provides exact or very close approximate solutions for a wide range of real-world problems arising in engineering and natural sciences, modelled in terms of differential equations.

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