Analysing the conduction of heat in porous medium via Caputo fractional operator with Sumudu transform

Abstract

In this article, we analyse the fractional Cattaneo heat equation for studying the conduction of heat in porous medium. This equation
is also used in studying extended irreversible thermodynamics, material, plasma, cosmological model, computational biology, and diffusion theory in crystalline solids. The Sumudu adomian decomposition technique, which is combination of Sumudu transform and a numerical technique, is applied for getting numerical solution. The existence and uniqueness is analysed by using the fixed point theorem and the highest error of the designed technique is also analysed. Finally, the accuracy of the designed numerical method is presented by solving two examples and the findings are compared with the existing method.