Premium
The homotopy analysis method to solve the modified equal width wave equation
Author(s) -
Yusufoğlu Elçin,
Selam Cevad
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20498
Subject(s) - mathematics , homotopy analysis method , convergence (economics) , homotopy perturbation method , series (stratigraphy) , simple (philosophy) , partial differential equation , constant (computer programming) , mathematical analysis , boundary value problem , boundary (topology) , homotopy , pure mathematics , computer science , paleontology , philosophy , epistemology , economics , biology , programming language , economic growth
In this article, to solve the modified equal width wave (MEW) equation, the homotopy analysis method (HAM) is proposed. The initial approximation can be freely chosen with possible unknown constant, which can be determined by using the boundary and initial conditions. The HAM contains the auxiliary parameter ℏ, which provides us to adjust and control the convergence region of solution series with a simple way. Three conservative quantities are reported. Numerical results show that this method is a promising and powerful tool to solve the MEW equation. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010