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 |