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Title: | A conforming virtual element method for parabolic integro-differential equations |
Authors: | Yadav, Sangita |
Keywords: | Mathematics Differential equations Error estimates Virtual element method Parabolic integro-differential equations |
Issue Date: | Oct-2023 |
Publisher: | De Gruyter |
Abstract: | This article develops and analyses a conforming virtual element scheme for the spatial discretization of parabolic integro-differential equations combined with backward Euler’s scheme for temporal discretization. With the help of Ritz–Voltera and L2 projection operators, optimal a priori error estimates are established. Moreover, several numerical experiments are presented to confirm the computational efficiency of the proposed scheme and validate the theoretical findings. |
URI: | https://www.degruyter.com/document/doi/10.1515/cmam-2023-0061/html http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17639 |
Appears in Collections: | Department of Mathematics |
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