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International Journal For Multidisciplinary Research
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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 |
Cite This | Richardson Extrapolation Technique for Singularly Perturbed Convection-diffusion Problem with Non-local Boundary Conditions - Desta Sodano Sheiso - IJFMR Volume 5, Issue 6, November-December 2023. DOI 10.36948/ijfmr.2023.v05i06.9377 |
DOI | https://doi.org/10.36948/ijfmr.2023.v05i06.9377 |
Short DOI | https://doi.org/gs63vr |
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