On the comparative study integro – Differential equations using difference numerical methods

• Published in: Journal of King Saud University. Science Vol. 32; no. 1; pp. 84 - 89
• Main Authors: Ahmed, Shams A., Elzaki, Tarig M.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.01.2020; Elsevier
• Subjects: Adomian decomposition Sumudu transform method; Homotopy perturbation method; Integro-differential equation; Pade approximant; Variational iteration method; Variational iteration method; Adomian decomposition Sumudu transform method; Homotopy perturbation method; Integro-differential equation; Pade approximant
• ISSN: 1018-3647
• DOI: 10.1016/j.jksus.2018.03.003

In this paper, we use the Adomian decomposition Sumudu transform method with the Pade approximant (ADST - PA method) to obtain closed form solutions of nonlinear integro-differential equations, and perform a comparative study between the present method and three different numerical methods, namely; the Adomian decomposition Sumudu transform method (ADSTM)), the homotopy perturbation method (HPM), and the variational iteration method (VIM). Our results show that in comparison with other existing methods, the (ADST - PA method) gives a better approximation for solving a large number of nonlinear integro-differential equations than existing methods.