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Numerical solution of linear pseudo-parabolic equation with time delay using three layer difference method.
- Source :
-
Journal of Computational & Applied Mathematics . Jan2024, Vol. 436, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper, we consider the one-dimensional initial–boundary problem for a pseudo-parabolic equation with a time delay in the second spatial derivative. To solve this problem numerically, we construct a higher-order difference method and obtain the error estimate for its solution. Based on the method of energy estimates the fully discrete scheme is shown to be convergent of order four in space and of order two in time. Given numerical results illustrate the convergence and effectiveness of the numerical method. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR equations
*TIME management
*PROBLEM solving
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 436
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 171851043
- Full Text :
- https://doi.org/10.1016/j.cam.2023.115417