Adomain Sumudu Transform Method for the Blasius Equation

Abstract

This paper presents a new method namely, Adomain Sumudu Transform Method, a coupling of the Sumudu transform and Adomain decomposition method, for handling a differential equation of mixing layer that arises in viscous incompressible fluid. In order to apply the condition at infinity, we converted the obtained series solution into rational function by using Padé approximant.

Solution of the Blasius Equation by using Adomain Mahgoub Transform

“…THE MAIN DIFFICULTY IS IN CHANGING THE BOUNDARY CONDITIONS AT INFINITY. WE ARE USING PAD S APPROXIMATION AT INFINITY [4]. PAD S APPROXIMATION GIVES SOLUTION IN SERIES, WHICH GIVES NUMERICAL SOLUTION, WHICH USUALLY IS NOT EXACT.…”

Different Computational Approach for Sumudu Integral Transform by Using Differential Transform Method

“…by Watugala [1], [4] and Belgacem [2], [3]. Hereafter, many authors consider the Sumudu Integral Transform to investigate properties, applications and relations with other transforms [1]- [10].…”