On a high-order iteration technique for a wave equation with nonlinear viscoelastic term

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...

SOLVING NONLINEAR KLEIN-GORDON EQUATION WITH A QUADRATIC NONLINEAR TERM USING HOMOTOPY ANALYSIS METHOD

In this paper, nonlinear Klein-Gordon equation with quadratic term is solved by means of an analytic technique, namely the Homotopy analysis method (HAM).Comparisons are made between the Adomian decomposition method (ADM), the exact solution and homotopy analysis method. The results reveal that the proposed method is very effective and simple.

A High Order Iterative Scheme for a Nonlinear Kirchhoff Wave Equation in the Unit Membrane

New Complex Solutions for Nonlinear Wave Equation with the Fifth Order Nonlinear Term and Foam Drainage Equation

In this present work we applied new applications of direct algebraic method to foam drainage equation and to Nonlinear Wave equation with the fifth order nonlinear term, the balance numbers of which are not positive integers. Then new types of complex solutions are obtained to the foam drainage equation and Nonlinear Wave equation with the fifth order nonlinear term.

Existence of traveling wave solutions of a high-order nonlinear acoustic wave equation

Article history: Received 29 July 2008 Received in revised form 19 November 2008 Accepted 21 January 2009 Available online 27 January 2009 Communicated by A.R. Bishop