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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

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