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An efficient fractional-order wavelet method for fractional Volterra integro-differential equations.
- Source :
-
International Journal of Computer Mathematics . Dec2018, Vol. 95 Issue 12, p2396-2418. 23p. - Publication Year :
- 2018
-
Abstract
- In this paper, an efficient and robust numerical technique is suggested to solve fractional Volterra integro-differential equations (FVIDEs). The proposed method is mainly based on the generalized fractional-order Legendre wavelets (GFLWs), their operational matrices and the Collocation method. The main advantage of the proposed method is that, by using the GFLWs basis, it can provide more efficient and accurate solution for FVIDEs in compare to integer-order wavelet basis. A comparison between the achieved results confirms accuracy and superiority of the proposed GFLWs method for solving FVIDEs. Error analysis and convergence of the GFLWs basis is provided. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 95
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 132135145
- Full Text :
- https://doi.org/10.1080/00207160.2017.1396454