Application of modified optimal homotopy perturbation method to higher order boundary value problems in a finite domain

Authors : Fazal GHANİ, Saeed ISLAM, Cenap OZEL, Liaqat ALİ, M.m. RASHİDİ, Tayebeh HAJJARİ

Pages : 1049-1060

View : 17 | Download : 5

Publication Date : 2016-08-01

Article Type : Research Paper

Abstract :This research focuses on the solution of higher order boundary value problems by our proposed method Modified Optimal Homotopy Per- turbation Method insert ignore into journalissuearticles values(MOHPM);. A homotopy with an embedding param- eter and Daftardar-Jafari polynomials are used. To control the conver- gence of solution, some auxiliary functions which depend upon variables and some constants are used. The proposed method is simple, rapid, ef- fective and accurate. The accuracy has been proved by comparing our results with the solutions of optimal homotopy perturbation method insert ignore into journalissuearticles values(OHPM);, optimal homotopy asymptotic method insert ignore into journalissuearticles values(OHAM);, variational iterative method insert ignore into journalissuearticles values(VIM);,variational iteration method using He`s poly- nomials insert ignore into journalissuearticles values(VIMHP);, homotopy perturbation method insert ignore into journalissuearticles values(HPM);, Adoman decomposition method insert ignore into journalissuearticles values(ADM); and Quintic B-Spline Galerkin`s scheme.
Keywords : Boundary value problems, Daftardar JafariPolynomials, Modified Optimal Homotopy Perturbation Method