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Multi-dim. time-fractional Di ff. Eqn.. (2015)

Singh, B. K., Srivastava, V. K.

Royal Society

In: Royal Society Open Science

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Publication Date: 2015-05-27

Description: 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.

Keywords: computational mathematics, differential equations, mathematical modelling

Electronic ISSN: 2054-5703

Topics: Natural Sciences in General

Published by Royal Society

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