Abstract
This paper is concerned with the numerical solution of Volterra integro-differential equations with noncompact operators. The focus is on the problems with weakly singular solutions. To handle the initial weak singularity of the solution, a fractional collocation method is applied. A rigorous hp-version error analysis of the numerical method under a weighted H1-norm is carried out. The result shows that the method can achieve high order convergence for such equations. Numerical experiments are also presented to confirm the effectiveness of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 690-707 |
| Number of pages | 18 |
| Journal | Journal of Computational Mathematics |
| Volume | 43 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2025 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2025 Global Science Press. All rights reserved.
Keywords
- Collocation method
- Fractional polynomial
- Noncompact operator
- Nonsmooth solution
- Volterra integro-differential equation
- hp-version error analysis
ASJC Scopus subject areas
- Computational Mathematics
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