Analytical Solution of System of Volterra Integral Equations Using OHAM

Muhammad Akbar, Rashid Nawaz, Sumbal Ahsan, Dumitru Baleanu, Kottakkaran Sooppy Nisar and Hijaz Ahmad

Journal of Mathematics, 2020, vol. 2020, 1-9

Abstract: In this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed technique is successfully applied for the solution of different problems, and comparison is made with the relaxed Monto Carlo method (RMCM) and hat basis function method (HBFM). The comparisons show that the present technique is more suitable and reliable for the solution of a system of VIEs. The presented technique uses auxiliary function containing auxiliary constants, which control the convergence. Moreover, OHAM does not require discretization like other numerical methods and is also free from small or large parameter.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8845491

DOI: 10.1155/2020/8845491

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