A New Approach for Solving Fredholm Integro-Differential Equations

Authors

L. Zada, Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PakistanFollow
M. Al-Hamami, College of Administrative Sciences, Applied Science University (ASU), Kingdom of BahrainFollow
R. Nawaz, Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PakistanFollow
S. Jehanzeb, Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, PakistanFollow
A. Morsy, Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi ArabiaFollow
A. Abdel-Aty, Department of Physics, College of Sciences, University of Bisha, Bisha 61922, Saudi Arabia\\ Physics Department, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptFollow
K. S. Nisar, Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia\\ Department of Physics, College of Sciences, University of Bisha, Bisha 61922, Saudi ArabiaFollow

Abstract

In the present article, we extend the optimal auxiliary function method (OAFM) to integro-differential equations. The method has especially contained the auxiliary function and convergence control parameters that accelerate the methods convergence. The numerical results, obtained by the OAFM are listed with those obtained by the ADM, CAS Wavelet method, and ESA method. Further, the obtained results have been compared with the exact solution through different graphs and tables, which shows that the proposed method is very effective and easy to implement for different fractional-order PDEs.

Recommended Citation

Zada, L.; Al-Hamami, M.; Nawaz, R.; Jehanzeb, S.; Morsy, A.; Abdel-Aty, A.; and Nisar, K. S. (2021) "A New Approach for Solving Fredholm Integro-Differential Equations," Information Sciences Letters: Vol. 10 : Iss. 3 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol10/iss3/3