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A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation

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ABSTRACT In this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation. It is shown that the method… Click to show full abstract

ABSTRACT In this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation. It is shown that the method displays uniform convergence of on a special non-uniform mesh, where N is the mesh parameter. Numerical results are included to verify the theoretical estimates.

Keywords: singularly perturbed; differential equation; order; integro differential; second order; volterra integro

Journal Title: International Journal of Computer Mathematics
Year Published: 2020

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