Coupling of ¬¬Laplace Differential Transform method with Padé Approximant for the Numerical solution of Initial and Boundary value problems

This paper presents a study using novel linearization technique based on the Differential transformation method (DTM) to seek analytical solutions if it exists and approximate where closed form are not available. The effectiveness accuracy of this procedure is verified by solving six problems comprising both initial boundary value combination DTM Laplace transform method. resulting solution then treated with Padé approximation obtain better that converges exact solution. Simulated results reveal proposed reliable, accurate computationally convenient even few iterations. result obtained in good agreement existing literature.