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Approximate series solution of multi-dimensional, time fractional-order (heat-like) diffusion equations using FRDTM
Brajesh K Singh1, Vineet K Srivastava2
1Department of Applied Mathematics , Babasaheb Bhimrao Ambedkar University, Lucknow 226025 , Uttar Pradesh, India.
Abstract:
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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