![DSpace logo](/jspui/image/logo.gif)
Please use this identifier to cite or link to this item:
http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/10928
Title: | Wavelet-based approximation with nonstandard finite difference scheme for singularly perturbed partial integrodifferential equations |
Authors: | Kumar, Devendra |
Keywords: | Mathematics Differential equations |
Issue Date: | Oct-2022 |
Publisher: | Springer |
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. |
URI: | https://link.springer.com/article/10.1007/s40314-022-02053-4 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10928 |
Appears in Collections: | Department of Mathematics |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.