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

Fazal GHANİ; Saeed ISLAM; Cenap OZEL; Liaqat ALİ; M.m. RASHİDİ; Tayebeh HAJJARİ

Makale detayları

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

Yazarlar:

Fazal GHANİ | Saeed ISLAM | Cenap OZEL | Liaqat ALİ | M.m. RASHİDİ | Tayebeh HAJJARİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1049-1060

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000452529

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 


This research focuses on the solution of higher order boundary valueproblems 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 variablesand some constants are used. The proposed method is simple, rapid, ef-fective and accurate. The accuracy has been proved by comparing ourresults with the solutions of optimal homotopy perturbation method(OHPM), optimal homotopy asymptotic method (OHAM), variationaliterative method (VIM),variational iteration method using He's poly-nomials (VIMHP), homotopy perturbation method (HPM), Adomandecomposition method (ADM) and Quintic B-Spline Galerkin's scheme.

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Makale detayları

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

Yazarlar: Fazal GHANİ | Saeed ISLAM | Cenap OZEL | Liaqat ALİ | M.m. RASHİDİ | Tayebeh HAJJARİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1049-1060

Belge Tipi: Makale

Yayın Tarihi: 7/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000452529

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Fazal GHANİ | Saeed ISLAM | Cenap OZEL | Liaqat ALİ | M.m. RASHİDİ | Tayebeh HAJJARİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2016 Vol.45 Issue 4, pp.1049-1060

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000452529

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X