In this paper, we will compare the differential transformation method DTM and Adomian
decomposition method ADM to solve partial differential equations (PDEs). The definition and …

In this work, we propose a novel computational algorithm for solving linear and nonlinear
initial value problems by using the modified version of differential transform method (DTM) …

This paper applies the variational iteration method and Adomian's decomposition method to
solve numerically the harmonic wave generation in a nonlinear, one-dimensional elastic half …

In this paper, the new approach to solve important type of partial differential equations based
on (1+ 1) dimension was proposed. Analytical solitary wave combine with Adomain …

Abstract The Adomian Decomposition Method (ADM) has been widely applied in solving
partial differential equations which represent various phenomena in engineering and …

In this paper, the solution of one-phase inverse Stefan problem is presented. The problem
consists of the reconstruction of the function which describes the distribution of temperature …

The aim of the article is to implement the LA Transform with HPM to solve the 4th order non-
linear PDEs arising in mathematical physics and astrophysics. This method is based on a …

This article presents an exact analysis solution for high order (2+ 1) dimensional differential
equations by using efficient approach based on coupled method via LA-transform with …

In this paper, initial value problems for the heat, wave and plate equations in which the
vectorial space variable varies in the whole Rd will be handled using the reliable …

Purpose of this paper: In this paper an application of the new method for solving the heat
conduction equation in the heterogeneous cast-mould system, with an assumption of the …