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

Authors : Hamed DAEI KASMAEI, Jalil RASHIDINIA

Pages : 86-103

Doi:10.17100/nevbiltek.284733

View : 31 | Download : 13

Publication Date : 2016-12-31

Article Type : Other Papers

Abstract :In this paper, we study the mixed Volterra-Fredholm integral equations of the second kind by means of optimal homotopy asymptotic method insert ignore into journalissuearticles values(OHAM); and Homotopy Perturbation method insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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.
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