Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations

Hamed Daeı Kasmaeı; Jalil Rashıdınıa

doi:10.17100/nevbiltek.284733

Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations

Year 2016, , 86 - 103, 31.12.2016

Hamed Daeı Kasmaeı Jalil Rashıdınıa

https://doi.org/10.17100/nevbiltek.284733

Cited By: 5

Abstract

In this paper, we study the mixed Volterra-Fredholm integral equations of the second kind by means of optimal homotopy asymptotic method (OHAM) and Homotopy Perturbation method (HPM).Our approach is independent of time and contains simple computations with quite acceptable approximate solutions in which approximate solutions obtained by these methods are close to exact solutions. Comparison of these methods have been discussed. The accuracy and efficiency of OHAM approach with respect to Homotopy Perturbation method (HPM) is illustrated by presenting four test examples. The results indicate that the OHAM is very effective and flexible to use with respect to HPM.

Year 2016, , 86 - 103, 31.12.2016

Hamed Daeı Kasmaeı Jalil Rashıdınıa

https://doi.org/10.17100/nevbiltek.284733

Cited By: 5

Abstract

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Details

Journal Section	Matematik
Authors	Hamed Daeı Kasmaeı Jalil Rashıdınıa
Publication Date	December 31, 2016
Published in Issue	Year 2016

Cite

APA	Daeı Kasmaeı, H., & Rashıdınıa, J. (2016). Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations. Nevşehir Bilim Ve Teknoloji Dergisi, 5(2), 86-103. https://doi.org/10.17100/nevbiltek.284733
AMA	Daeı Kasmaeı H, Rashıdınıa J. Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations. Nevşehir Bilim ve Teknoloji Dergisi. December 2016;5(2):86-103. doi:10.17100/nevbiltek.284733
Chicago	Daeı Kasmaeı, Hamed, and Jalil Rashıdınıa. “Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations”. Nevşehir Bilim Ve Teknoloji Dergisi 5, no. 2 (December 2016): 86-103. https://doi.org/10.17100/nevbiltek.284733.
EndNote	Daeı Kasmaeı H, Rashıdınıa J (December 1, 2016) Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations. Nevşehir Bilim ve Teknoloji Dergisi 5 2 86–103.
IEEE	H. Daeı Kasmaeı and J. Rashıdınıa, “Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations”, Nevşehir Bilim ve Teknoloji Dergisi, vol. 5, no. 2, pp. 86–103, 2016, doi: 10.17100/nevbiltek.284733.
ISNAD	Daeı Kasmaeı, Hamed - Rashıdınıa, Jalil. “Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations”. Nevşehir Bilim ve Teknoloji Dergisi 5/2 (December 2016), 86-103. https://doi.org/10.17100/nevbiltek.284733.
JAMA	Daeı Kasmaeı H, Rashıdınıa J. Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations. Nevşehir Bilim ve Teknoloji Dergisi. 2016;5:86–103.
MLA	Daeı Kasmaeı, Hamed and Jalil Rashıdınıa. “Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations”. Nevşehir Bilim Ve Teknoloji Dergisi, vol. 5, no. 2, 2016, pp. 86-103, doi:10.17100/nevbiltek.284733.
Vancouver	Daeı Kasmaeı H, Rashıdınıa J. Optimal Homotopy Asymptotic and Homotopy Perturbation Methods for Linear Mixed Volterra-Fredholm Integral Equations. Nevşehir Bilim ve Teknoloji Dergisi. 2016;5(2):86-103.