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Analytical solution of system of Volterra integral equations using OHAM. (English) Zbl 1489.65167

Summary: 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.

MSC:

65R20 Numerical methods for integral equations
45F05 Systems of nonsingular linear integral equations
45D05 Volterra integral equations
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