Differential Transform Decomposition Method for the Solution of Boundary Layer Equations in a Finite Domain

Abstract

A new method called differential transform decomposition method (DTDM) for solving differential equations was developed. This method was derived by coupling the scheme of Differential Transform with Adomain polynomials,the necessity of the Adomian polynomial is to decompose the the non linear functions existing in a differential equation so that the differential transform of such functions could be obtained easily.To validate the efficiency of the proposed method, a single and coupled boundary value problems in a finite domain were considered. The results obtained were presented in a polynomial form so that the solution at any point of the problems considered could be obtained as against some methods which are discritised. Computational results agree with the referenced solution for the single boundary value problem and for the coupled boundary value problems the results agrees with that of the weighted residual method.