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

作者：Ghani Fazal; Islam Saeed; Ozel Cenap^*; Ali Liaqat; Bashidi M M; Hajjari Tayebeh

来源：Hacettepe Journal of Mathematics and Statistics, 2016, 45(4): 1049-1060.

DOI：10.15672/hjms.20164516347

• Boundary value problems
• Modified Optimal Homotopy Perturbation Method
• Daftardar-Talari Polynomials

This research focuses on the solution of higher order boundary value problems by our proposed method "Modified Optimal Homotopy Perturbation Method" (MOHPM). A homotopy with an embedding parameter and Daft ardar-Jafari polynomials are used. To control the convergence of solution, some auxiliary functions which depend upon variables and some constants are used. The proposed method is simple, rapid, effective 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 polynomials (VIM LIP), homotopy perturbation method (HPM), Adoman decomposition method (ADM) and Quintic B-Spline Galerkin's scheme.

• 出版日期2016-8