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

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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

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.

Kaynakça

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Toplam 2 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Fazal Ghani Bu kişi benim

Saeed Islam Bu kişi benim

Cenap Ozel

Liaqat Ali Bu kişi benim

M.m. Rashidi Bu kişi benim

Tayebeh Hajjari Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 45 Sayı: 4

Kaynak Göster

APA Ghani, F., Islam, S., Ozel, C., Ali, L., vd. (2016). Application of modified optimal homotopy perturbation method to higher order boundary value problems in a finite domain. Hacettepe Journal of Mathematics and Statistics, 45(4), 1049-1060.
AMA Ghani F, Islam S, Ozel C, Ali L, Rashidi M, Hajjari T. Application of modified optimal homotopy perturbation method to higher order boundary value problems in a finite domain. Hacettepe Journal of Mathematics and Statistics. Ağustos 2016;45(4):1049-1060.
Chicago Ghani, Fazal, Saeed Islam, Cenap Ozel, Liaqat Ali, M.m. Rashidi, ve Tayebeh Hajjari. “Application of Modified Optimal Homotopy Perturbation Method to Higher Order Boundary Value Problems in a Finite Domain”. Hacettepe Journal of Mathematics and Statistics 45, sy. 4 (Ağustos 2016): 1049-60.
EndNote Ghani F, Islam S, Ozel C, Ali L, Rashidi M, Hajjari T (01 Ağustos 2016) Application of modified optimal homotopy perturbation method to higher order boundary value problems in a finite domain. Hacettepe Journal of Mathematics and Statistics 45 4 1049–1060.
IEEE F. Ghani, S. Islam, C. Ozel, L. Ali, M. Rashidi, ve T. Hajjari, “Application of modified optimal homotopy perturbation method to higher order boundary value problems in a finite domain”, Hacettepe Journal of Mathematics and Statistics, c. 45, sy. 4, ss. 1049–1060, 2016.
ISNAD Ghani, Fazal vd. “Application of Modified Optimal Homotopy Perturbation Method to Higher Order Boundary Value Problems in a Finite Domain”. Hacettepe Journal of Mathematics and Statistics 45/4 (Ağustos 2016), 1049-1060.
JAMA Ghani F, Islam S, Ozel C, Ali L, Rashidi M, Hajjari T. Application of modified optimal homotopy perturbation method to higher order boundary value problems in a finite domain. Hacettepe Journal of Mathematics and Statistics. 2016;45:1049–1060.
MLA Ghani, Fazal vd. “Application of Modified Optimal Homotopy Perturbation Method to Higher Order Boundary Value Problems in a Finite Domain”. Hacettepe Journal of Mathematics and Statistics, c. 45, sy. 4, 2016, ss. 1049-60.
Vancouver Ghani F, Islam S, Ozel C, Ali L, Rashidi M, Hajjari T. Application of modified optimal homotopy perturbation method to higher order boundary value problems in a finite domain. Hacettepe Journal of Mathematics and Statistics. 2016;45(4):1049-60.