A higher-order accurate difference approximation of singularly perturbed reaction-diffusion problem using grid equidistribution
This paper proposes a higher-order numerical approximation scheme to solve singularly perturbed reaction–diffusion boundary value problems. The proposed scheme is a combination of a fourth-order numerical difference method and classical central difference method applied on a non-equidistant grid. Th...
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| Main Authors: | , |
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| Format: | article |
| Language: | EN |
| Published: |
Elsevier
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/e73f847ea7d24c98a5121ef5e71dbab5 |
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| Summary: | This paper proposes a higher-order numerical approximation scheme to solve singularly perturbed reaction–diffusion boundary value problems. The proposed scheme is a combination of a fourth-order numerical difference method and classical central difference method applied on a non-equidistant grid. The non-equidistant grid is generated by equi-distributing a non-negative monitor function. The theoretical and empirical error analysis demonstrate that the proposed scheme has fourth-order uniform convergence with respect to the perturbation parameter. |
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