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 <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>L</m:mi> <m:mn>2</m:mn> </m:msup> </m:math> L^{2} 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.

Sangita Yadav

Meghana Suthar

Sarvesh Kumar

Computational Methods in Applied Mathematics

高度选择性的国际数学期刊应用数学计算方法（CMAM）考虑了对计算方法和数值分析的原始数学贡献，其应用主要与偏微分方程相关。CMAM 寻求跨学科的同时保留数值分析的共同点，旨在易于阅读，适用于应用数学领域的广大研究人员。该杂志由 DE GRUYTER 代表白俄罗斯国家科学院数学研究所出版。

Computational Methods in Applied Mathematics is a highly selective international mathematics journal that focuses on computational methods in applied mathematics. The journal welcomes original mathematical contributions related to computational methods and numerical analysis, particularly those closely associated with the application of partial differential equations. It aims to maintain the core elements of numerical analysis while being interdisciplinary, ensuring that the content is easy to read and suitable for a wide range of researchers in the field of applied mathematics. The journal is published by DE GRUYTER on behalf of the Institute of Mathematics of the National Academy of Sciences of Belarus.

《Computational Methods in Applied Mathematics》是一本高度选择性的国际数学期刊，专注于应用数学中的计算方法。该期刊接受与计算方法和数值分析相关的原创数学贡献，特别是与偏微分方程的应用密切相关。期刊旨在跨学科的同时，保持数值分析的核心要素，力求内容易于阅读，适合广大应用数学领域的研究人员。该杂志由DE GRUYTER出版，代表白俄罗斯国家科学院数学研究所。

Category	Quartile
数学	4
数学, 应用数学	4

A Conforming Virtual Element Method for Parabolic Integro-Differential Equations

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Journal Info

Category	Quartile
MATHEMATICS, APPLIED	3