Application of the Combined Aboodh and Reduced Differential Transform Methods to the Fisher's Type Equations
A. A. Oyewumi *
Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria.
R. A. Oderinu
Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The Fishers' equation has relevant application in the studies of gas dynamics, uid dynamic models, applied physics and mathematics felds. This equation models the interaction between the convection effect, reaction mechanism and the diffusion transport. In this work the nonlinear time-dependent Fisher's type equations are solved. The combined Aboodh and Reduced differential transform methods are employed to solve two cases of the nonlinear partial differential equations. The solutions obtained by this method reveal that the proposed method is well capable of handling such problems. It is also evident from the results that the method is
highly effcient and accurate.
Keywords: Fisher's equation, partial differential equation, Aboodh transform and reduced differential transform method