A second order accurate method for a parameterized singularly perturbed problem with integral boundary condition

In this paper, we consider a class of parameterized singularly perturbed problems with integral boundary condition. A finite difference scheme of hybrid type with an appropriate Shishkin mesh is suggested to solve the problem. We prove that the method is of almost second order convergent in the discrete maximum norm. Numerical results are presented, which illustrate the theoretical results. (C) 2021 Elsevier B.V. All rights reserved.

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This paper investigates a class of parameterized singularly perturbed problems with integral boundary condition and proposes a finite difference scheme of hybrid type with an appropriate Shishkin mesh. It is proven that the method converges almost second order in the discrete maximum norm, which is illustrated by numerical results supporting the theoretical findings.