Author:
Al-Saadawi Firas A.,Al-Humedi Hameeda Oda
Abstract
Abstract
The aim of this article was employed a fractional-shifted Legendre polynomials (F-SLPs) in a matrix form to approximate the temporal and spatial derivatives of fractional orders for derived an approximate solutions for bioheat problem of a space-time fractional. The spatial-temporal fractional derivatives are described in the formula by the Riesz-Feller and the Caputo fractional derivatives of orders v (1,2] and γ (0,1], respectively. The proposed methodology applied for two examples for demonstrating its usefulness and effectiveness. The numerical results confirmed that the utilized technique is immensely effective, provides high accuracy and good convergence.
Subject
General Physics and Astronomy
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