2020
DOI: 10.3846/mma.2020.10517
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An Overlapping Schwarz Method for Singularly Perturbed Fourth-Order Convection-Diffusion Type

Abstract: In this paper, we have constructed an iterative numerical method based on an overlapping Schwarz procedure with uniform mesh for singularly perturbed fourth-order of convection-diffusion type. The method splits the original domain into two overlapping subdomains. A hybrid difference scheme is proposed in which on the boundary layer region we use the central finite difference scheme on a uniform mesh while on the non-layer region we use the mid-point difference scheme on a uniform mesh. It is shown that the… Show more

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