Application of Approximate Adomian Decomposition Method and a Variational Iterations Method to Solving a Cauchy Problem With the Heat Dissipation and Laplace Equations

Abstract

ISRA (India) = 3.117 ISI (Dubai, UAE) = 0.829 GIF (Australia) = 0.564 JIF = 1.500 SIS (USA) = 0.912 РИНЦ (Russia) = 0.156 ESJI (KZ) = 5.015 SJIF (Morocco) = 5.667 ICV (Poland) = 6.630 PIF (India) = 1.940 IBI (India) = 4

Application of Adomian Decomposition Method, Taylor Series Method and a Variational Iterations Method to Solving a Second Order Ordinary Differential Equations

“…The Adomian decomposition method and the variational iterations method is one of the wellknown methods for solving various linear and nonlinear evolution equations. Many studies have proven that these methods are reliable and effective for a wide range of scientific applications, linear and nonlinear equations with bounded and unbounded domains [1][2][3][4][5][6][7]. These methods have no special requirements, such as linearization, small parameters, and so on for nonlinear operators.…”