Approximate Analytical Solution by Residual Power Series Method for System of Fredholm Integral Equations

Authors

Iryna Komashynska, Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, JordanFollow
Mohammed Al-Smadi, Department of Applied Science, Ajloun College, Al Balqa Applied University, Ajloun 26816, JordanFollow
Ali Ateiwi, Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan\\ Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, P.O. Box 20, Ma’an-JordanFollow
Sadoon Al-Obaidy, Department of Mathematics, Faculty of Science, Al-Hussein Bin Talal University, P.O. Box 20, Ma’an-JordanFollow

Author Country (or Countries)

Jordan

Abstract

In this paper, we present a new analytical technique for obtaining the analytical approximate solutions for system of Fredholm integral equations based on the use of the residual power series method (RPSM). The proposed method provides the solution in terms of convergent series with easily computable components, as well as it possesses main advantage as compared to other existed methods; it can be applied without any limitation or linearization on the nature of the problem, type of classification, and the number of mesh points. In this sense, some examples are given to demonstrate the simplicity and efficiency of the proposed method. The results obtained by employing the RPSM are compared with exact solutions to reveal that the method is easy to implement, straightforward and convenient to handle a wide range of such system of integral equations.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100315

Recommended Citation

Komashynska, Iryna; Al-Smadi, Mohammed; Ateiwi, Ali; and Al-Obaidy, Sadoon (2016) "Approximate Analytical Solution by Residual Power Series Method for System of Fredholm Integral Equations," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 15.
DOI: http://dx.doi.org/10.18576/amis/100315
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/15