Please use this identifier to cite or link to this item:
http://dspace.bits-pilani.ac.in:8080/jspui/xmlui/handle/123456789/10927
Title: | A second-order numerical scheme for the time-fractional partial differential equations with a time delay |
Authors: | Kumar, Devendra |
Keywords: | Mathematics Differential equations |
Issue Date: | Mar-2022 |
Publisher: | Springer |
Abstract: | This work proposes a numerical scheme for a class of time-fractional convection–reaction–diffusion problems with a time lag. Time-fractional derivative is considered in the Caputo sense. The numerical scheme comprises the discretization technique given by Crank and Nicolson in the temporal direction and the spline functions with a tension factor are used in the spatial direction. Through the von Neumann stability analysis, the scheme is shown conditionally stable. Moreover, a rigorous convergence analysis is presented through the Fourier series. Two test problems are solved numerically to verify the effectiveness of the proposed numerical scheme. |
URI: | https://link.springer.com/article/10.1007/s40314-022-01810-9 http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10927 |
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.