Numerical solution for a class of parabolic integrodifferential equations subject to integral boundary conditions
| dc.contributor.author | Chattouh Abdeldjalil | |
| dc.date.accessioned | 2024-02-15T11:28:47Z | |
| dc.date.available | 2024-02-15T11:28:47Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | Many physical phenomena can be modelled through nonlocal boundary value problems whose boundary conditions involve integral terms. In this work we propose a numerical algorithm, by combining second-order Crank-Nicolson schema for the temporal discretization and Legendre-Chebyshev pseudo-spectral method (LC-PSM) for the space discretization, to solve a class of parabolic integrodifferential equations subject to nonlocal boundary conditions. The approach proposed in this paper is based on Galerkin formulation and Legendre polynomials. Results on stability and convergence are established. Numerical tests are presented to support theoretical results and to demonstrate the accuracy and effectiveness of the proposed method. | |
| dc.identifier.uri | http://dspace.univ-khenchela.dz:4000/handle/123456789/1186 | |
| dc.title | Numerical solution for a class of parabolic integrodifferential equations subject to integral boundary conditions | |
| dc.type | Article |
Files
Original bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- Numerical solution for a class of parabolic integrodifferential equations subject to integral boundary.pdf
- Size:
- 872.12 KB
- Format:
- Adobe Portable Document Format
License bundle
1 - 1 of 1
No Thumbnail Available
- Name:
- license.txt
- Size:
- 1.71 KB
- Format:
- Item-specific license agreed to upon submission
- Description: