An approximation of the analytic solution of the shock wave equation

Authors:
Fathi M. Allan;Kamel Al-Khaled
Affiliations:
Department of Mathematics, United Arab Emirates University, Al-Ain, United Arab Emirates;Department of Mathematics, United Arab Emirates University, Al-Ain, United Arab Emirates
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 3
Cited 5

Atmospheric and ocean modeling with an adaptive finite element solver for the shallow-water equations

Proceedings of international centre for mathematical sciences on Grid adaptation in computational PDES : theory and applications: theory and applications
Theory and computation in hyperbolic model problems

Theory and computation in hyperbolic model problems
Construction of solutions for the shallow water equations by the decomposition method

Mathematics and Computers in Simulation

On exact travelling wave solutions for two types of nonlinear K(n,n) equations and a generalized KP equation

Journal of Computational and Applied Mathematics
The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients

Journal of Computational and Applied Mathematics
Different physical structures of solutions for a generalized Boussinesq wave equation

Journal of Computational and Applied Mathematics
The Jacobi elliptic function solutions to a generalized Benjamin-Bona-Mahony equation

Mathematical and Computer Modelling: An International Journal
The compact and noncompact structures for two types of generalized Camassa-Holm-KP equations

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	7.29

Visualization

Abstract

In this article we discuss the analytic solution of the fully developed shock waves. The Adomian decomposition method is used to solve the shock wave equation which describes the flow of gases.Unlike the various numerical techniques, which are usually valid for short period of time, the solution of the presented equation is analytic for 0 ≤ t