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Application of the modified operational matrices in multiterm variable‐order time‐fractional partial differential equations.
- Source :
-
Mathematical Methods in the Applied Sciences . Dec2019, Vol. 42 Issue 18, p7296-7313. 18p. - Publication Year :
- 2019
-
Abstract
- In this paper, we present a novel discrete scheme based on Genocchi polynomials and fractional Laguerre functions to solve multiterm variable‐order time‐fractional partial differential equations (M‐V‐TFPDEs) in the large interval. In this purpose, the accurate modified operational matrices are constructed to reduce the problems into a system of algebraic equations. Also, the computational algorithm based on the method and modified operational matrices in the large interval is easily implemented. Furthermore, we discuss the error estimation of the proposed method. Ultimately, to confirm our theoretical analysis and accuracy of numerical approach, several examples are presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 42
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 139742886
- Full Text :
- https://doi.org/10.1002/mma.5840