dc.contributor.author | Kumar, Devendra | |
dc.date.accessioned | 2023-05-18T10:39:21Z | |
dc.date.available | 2023-05-18T10:39:21Z | |
dc.date.issued | 2022-03 | |
dc.identifier.uri | https://link.springer.com/article/10.1007/s40314-022-01810-9 | |
dc.identifier.uri | http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/10927 | |
dc.description.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. | 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 | A second-order numerical scheme for the time-fractional partial differential equations with a time delay | en_US |
dc.type | Article | en_US |
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