A new approach for solving boundary and initial value problems by coupling the he method and Sawi transform

Abstract

This paper discusses and implements a newly developed technique using the He method with Sawi Transform. The main aim is to solve some initial and boundary problems. This combination exhibits an accurate strategy to obtain a precise solution for linear and nonlinear problems. To validate the proposed Hybrid method, a 4- examples are discussed, these including: Burger’s equation, telegraph equation, Kelin-Gordan equation, Duffing oscillator with cubic nonlinear term. The obtained results improve the exactness and the accuracy of the proposed combinations, and the proposed method is capable to solve a large number of linear and nonlinear initial and boundary value problems.