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

Yıl 2016, Cilt: 45 Sayı: 4, 1049 - 1060, 01.08.2016

Fazal Ghani Saeed Islam Cenap Ozel Liaqat Ali M.m. Rashidi Tayebeh Hajjari

Öz

This research focuses on the solution of higher order boundary value
problems by our proposed method Modified Optimal Homotopy Per-
turbation Method (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
(OHPM), optimal homotopy asymptotic method (OHAM), variational
iterative method (VIM),variational iteration method using He's poly-
nomials (VIMHP), homotopy perturbation method (HPM), Adoman
decomposition method (ADM) and Quintic B-Spline Galerkin's scheme.

Anahtar Kelimeler

Boundary value problems, Daftardar-JafariPolynomials, Modified Optimal Homotopy Perturbation Method

Kaynakça

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