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An Approximate Solution of the Space Fractional-Order Heat Equation by the Non-Polynomial Spline Functions.
- Source :
-
Iraqi Journal of Science . 2021, Vol. 62 Issue 7, p2327-2333. 7p. - Publication Year :
- 2021
-
Abstract
- The linear non-polynomial spline is used here to solve the fractional partial differential equation (FPDE). The fractional derivatives are described in the Caputo sense. The tensor products are given for extending the one-dimensional linear nonpolynomial spline S1 to a two-dimensional spline S1 ⊗ S2 to solve the heat equation. In this paper, the convergence theorem of the method used to the exact solution is proved and the numerical examples show the validity of the method. All computations are implemented by Mathcad15. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00672904
- Volume :
- 62
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Iraqi Journal of Science
- Publication Type :
- Academic Journal
- Accession number :
- 151887368
- Full Text :
- https://doi.org/10.24996/ijs.2021.62.7.20