New Iterative Method For Solving Nonlinear partial Differential Equations

  • Amr M. S. Mahdy Department of Mathematics, Faculty of Science Zagazig University Zagazig, EGYPT
  • N.A. H. Mukhtar Department of Mathematics, Faculty of Science, Benghazi University, Benghazi, Libya
Keywords: New IterativeMethod, Nonlinear Benjamin-Bona-Mahony equation, Cahn Hilliard equation, Gardner equation, linear Klein Gordon equation, nonlinear Klein Gordon equation and nonlinear dispersive K (2, 2) equation.

Abstract

This paper presents an approximate analytical solution of the non-linear Benjamin-Bona-Mahony equation, Cahn Hilliard equation, Gardner equation, linear Klein Gordon equation.

Downloads

Download data is not yet available.

References

Ahmet Yildirim,Canan Unin and Syed Tauseef Mohyad.(2010),Exact

Solitary-Wave Special Solutions For the Nonlinear Dispersive K(2,2)

Equations by Method, Appl.Appl.Math,lssN :1932-9466,Special lssue No.1,pp82-93.

Benjamin-Bona-Mahony equation,from Wikipedia,the free encyclopedia.

Bhalekar S,Daftardar-Gejji V.(2008).New iterative method: application to partial differential equations, Applied Mathematics and Computation,203(2):778-783.

Bhalekar S,Daftardar-Gejji V,(2010). Solving evolution equations using a new iterative method, Numerical Methods for partial Differential

Equations,26(4):906-916

Cherruauit Y,(1989),Convergence of Adomians method.Kybernetes,18(2):31-38.

Daftardar-Gejji Bhalekar VS.(2010).solving fractional boundary vaiue

problemswith dirichlet boundary conditions using a new iterative

method, Computers & Mathematics with Applications,59(5):1801-1809.

Daftardar-Gejji V,Jafari H.(2006),An iterative method for solving

nonlinear functional equations, Journal of Mathematical Analysis and

Applications,316(2):753-763.

Gardner equation,from Wikipedia,the free encyclopedia.

Hemeda AA.(2012).Formulation and solution of nth-order derivative

fuzzyintegro-di¤erential equation using new iterative method with a reliable algorithm,Journal of Applied Mathematics,Article ID 325473,17 pages.

Jerri AJ.(1999).Introduction to Integral Equations with Applications. second Ed.Wiley.Interscience

Marwan Taiseer Alquran.(2012).Applying Differential Transform

Method to Nonlinear Partial Differential Equations:A Modi ed Ap-

proach,Applications and Applied Mathematics,vol.7,lssue 1,pp.155-163

Mehdi Dehghan ,Ali Shokri.(2009). Numerical solution of the non-linear Klein-Gordon equation using radial basis function, Journal of computational and Applied mathematics,Vol. 230, lssue. 2,pp 400-410..

Murat Gubes,Yildiray Keskin and Galip Oturanc.(2015),Numerical Solution of time-dependent Foam Drainage Equation(FDE),Computational

Methods for Di¤erential Equations,vol.3,No. 2,pp.111-122.

Yavuz Ugurlu and Dogan Kaya,(2008),Solutions Of The Cahn-Hilliard

Equation, Computers & Mathematics With Applications,vol 56,lssue 12,pp

-3045

Published
2017-04-13
How to Cite
Mahdy, A., & H. Mukhtar, N. (2017). New Iterative Method For Solving Nonlinear partial Differential Equations. Journal of Progressive Research in Mathematics, 11(3), 1701-1711. Retrieved from https://scitecresearch.com/journals/index.php/jprm/article/view/1070
Section
Articles