International Journal For Multidisciplinary Research

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A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

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Richardson Extrapolation Technique for Singularly Perturbed Convection-diffusion Problem with Non-local Boundary Conditions

Author(s) Desta Sodano Sheiso
Country Ethiopia
Abstract This study presents the Richardson extrapolation techniques for solving singularly perturbed convection -diffusion problems (SPCDP) with non-local boundary conditions. A numerical approach is presented using an upwind finite difference scheme a piecewise-uniform (Shishkin) mesh. To handle the non-local boundary conditions, the trapezoidal rule is applied. The study establishes an error bound for numerical solutions and determines the numerical approximation for scaled derivatives. To enhance convergence and accuracy, we utilize Richardson extrapolation. This elevates accuracy from firs-order to second order convergence
Keywords Singularly perturbed problems, Richardson extrapolation, Upwind scheme, Nonlocal boundary condition, Scaled derivatives, Piecewise-uniform mesh.
Field Mathematics
Published In Volume 5, Issue 6, November-December 2023
Published On 2023-11-27
DOI https://doi.org/10.36948/ijfmr.2023.v05i06.9377
Short DOI https://doi.org/gs63vr

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