The Optimal <i>L</i><sup>2</sup>-Norm Error Estimate of a Weak Galerkin Finite Element Method for a Multi-Dimensional Evolution Equation with a Weakly Singular Kernel
This paper proposes a weak Galerkin (WG) finite element method for solving a multi-dimensional evolution equation with a weakly singular kernel. The temporal discretization employs the backward Euler scheme, while the fractional integral term is approximated via a piecewise constant function method....
Saved in:
| Main Authors: | Haopan Zhou, Jun Zhou, Hongbin Chen |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-06-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/9/6/368 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
A Galerkin-like approach to solve high-order integrodifferential equations with weakly singular kernel
by: Şuayip Yüzbaşı, et al.
Published: (2016-05-01) -
Analysis of a Weak Galerkin Mixed Formulation for Modified Maxwell’s Equations
by: Abdelhamid Zaghdani, et al.
Published: (2024-12-01) -
Bernoulli Polynomials Method for Solving Integral Equations with Singular Kernel
by: Muna M. Mustafa, et al.
Published: (2024-12-01) -
Simplified weak Galerkin finite element methods for biharmonic equations on non-convex polytopal meshes
by: Chunmei Wang
Published: (2025-03-01) -
Analytical and Numerical Treatment of Evolutionary Time-Fractional Partial Integro-Differential Equations with Singular Memory Kernels
by: Kamel Al-Khaled, et al.
Published: (2025-06-01)