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Solutions of fractional order pseudo-hyperbolic telegraph partial differential equations using finite difference method.
- Source :
- Alexandria Engineering Journal; Dec2022, Vol. 61 Issue 12, p12443-12451, 9p
- Publication Year :
- 2022
-
Abstract
- In this study, the explicit finite difference method is used to solve the fractional-order pseudo-hyperbolic telegraph partial differential equation by means of Caputo fractional derivative. A first-order finite difference approach is constructed for fractional order pseudo-hyperbolic telegraph partial differential equations. The difference scheme technique's stability estimate for the presented problem is given. The test problem is provided as an application. A comparison of the exact and approximate solutions is offered to determine the correctness and effectiveness of the suggested method. Finally, a graphical representation of the exact and approximate solutions in various cases is presented. The simulation of the obtained results are displayed in both the figures and the error analysis table. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11100168
- Volume :
- 61
- Issue :
- 12
- Database :
- Supplemental Index
- Journal :
- Alexandria Engineering Journal
- Publication Type :
- Academic Journal
- Accession number :
- 160909963
- Full Text :
- https://doi.org/10.1016/j.aej.2022.06.027