title: Adomian decomposition sumudu transform method for solving a solid and porous fin with temperature dependent internal heat generation.
abstract: In this paper, Adomian decomposition sumudu transform method is introduced and used to solve the temperature distribution in a solid and porous fin with the temperature dependent internal heat generation for a fractional order energy balance equation. In this study, we assume heat generation as a variable of fin temperature for solid and porous fin and the heat transfer through porous media is simulated by using Darcy's model. The results are presented for the temperature distribution for the range of values of parameters appeared in the mathematical formulation and also compared with numerical solutions in order to verify the accuracy of the proposed method. It is found that the proposed method is in good agreement with direct numerical solution.
authors.affiliation: Department of Applied Mathematics and Humanities, SVNIT, Icchanath Circle, Surat, 395007 India.
authors.forename: Trushit
authors.initials: T
authors.lastname: Patel
authors.affiliation: Department of Applied Mathematics and Humanities, SVNIT, Icchanath Circle, Surat, 395007 India.
authors.forename: Ramakanta
authors.initials: R
authors.lastname: Meher
keywords: Adomian decomposition sumudu transform method; Caputo fractional derivative; Fractional order differential equation; Internal heat generation; Porous fin; Temperature dependent thermal conductivity; Thermal analysis