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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kumar, Devendra | - |
dc.date.accessioned | 2023-05-18T10:41:25Z | - |
dc.date.available | 2023-05-18T10:41:25Z | - |
dc.date.issued | 2022-10 | - |
dc.identifier.uri | https://link.springer.com/article/10.1007/s40314-022-02053-4 | - |
dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10928 | - |
dc.description.abstract | A non-standard finite difference scheme with Haar wavelet basis functions is constructed for the convection–diffusion type singularly perturbed partial integrodifferential equations. The scheme comprises the Crank–Nicolson time semi-discretization followed by the Haar wavelet approximation in the spatial direction. The presence of the perturbation parameter leads to a boundary layer in the solution’s vicinity of x=1. The Shishkin mesh is constructed to resolve the boundary layer. The method is proved to be parameter-uniform convergent of order two in the L2-norm through meticulous error analysis. Compared to the recent methods developed to solve such problems, the present method is a boundary layer resolving, fast, and elegant. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Differential equations | en_US |
dc.title | Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations | en_US |
dc.type | Article | en_US |
Appears in Collections: | Department of Mathematics |
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