Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach
Abstract
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with the backward Euler method (BEM), and the product trapezoidal rule has been used for the approximation of the integral term. To check the numerical and graphical efficiency of the proposed algorithm, many test problems have been considered. The numerical and visual results confirm the numerical efficiency and robustness of our technique.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Numerical methods in engineering
Differential Equations and Numerical Methods
Publication details
- Journal / source
- Journal of Function Spaces
- Publisher
- Wiley
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN