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What is Numerical Analysis of Nonlocal Volterra Equation about?
This document presents research on the numerical analysis of a nonlocal Volterra integro-differential equation (VIDE) where the integral term is a convolution of a positive-definite kernel and a nonlocal peridynamic differential operator. The equation is discretized in space using finite elements and in time using backward Euler. Error estimates are proved for the semi-discrete and fully discrete schemes. Numerical experiments are conducted to validate the theoretical findings.
- Author
- Vadel Sniper
- Language
- EN