抛物型积分微分方程的无网格Galerkin法
Meshless Galerkin Method for Parabolic Integro-Differential Equations
摘要: 本文针对抛物型积分微分方程，在空间方向上使用无单元Galerkin法离散，在时间方向上使用向后欧拉法离散，利用Nitsche法施加本质边界条件，数值算例验证了该数值格式的有效性和收敛性。
Abstract: This paper focuses on parabolic integro-differential equations, discretized by the element-free Galerkin method in space and the backward Euler method in time, with essential boundary conditions enforced via Nitsche’s method. Numerical examples are provided to verify the effectiveness and convergence of the proposed numerical scheme.
文章引用：张涛. 抛物型积分微分方程的无网格Galerkin法[J]. 理论数学, 2026, 16(9): 25-34. https://doi.org/10.12677/pm.2026.169195

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