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

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

Research Article

Year 2016, Volume: 45 Issue: 4, 1049 - 1060, 01.08.2016

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

Abstract

References

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

Year 2016, Volume: 45 Issue: 4, 1049 - 1060, 01.08.2016

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

Abstract

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.

Keywords

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

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There are 2 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Fazal Ghani This is me Saeed Islam This is me Cenap Ozel Liaqat Ali This is me M.m. Rashidi This is me Tayebeh Hajjari This is me
Publication Date	August 1, 2016
Published in Issue	Year 2016 Volume: 45 Issue: 4

Cite

APA	Ghani, F., Islam, S., Ozel, C., Ali, L., et al. (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. August 2016;45(4):1049-1060.
Chicago	Ghani, Fazal, Saeed Islam, Cenap Ozel, Liaqat Ali, M.m. Rashidi, and 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, no. 4 (August 2016): 1049-60.
EndNote	Ghani F, Islam S, Ozel C, Ali L, Rashidi M, Hajjari T (August 1, 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, and 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, vol. 45, no. 4, pp. 1049–1060, 2016.
ISNAD	Ghani, Fazal et al. “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 (August 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 et al. “Application of Modified Optimal Homotopy Perturbation Method to Higher Order Boundary Value Problems in a Finite Domain”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, 2016, pp. 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.