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Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions.
- Source :
-
International Journal of Computer Mathematics . May2018, Vol. 95 Issue 5, p998-1014. 17p. - Publication Year :
- 2018
-
Abstract
- In this paper, Legendre wavelet collocation method is applied for numerical solutions of the fractional-order differential equations subject to multi-point boundary conditions. The explicit formula of fractional integral of a single Legendre wavelet is derived from the definition by means of the shifted Legendre polynomial. The proposed method is very convenient for solving fractional-order multi-point boundary conditions, since the boundary conditions are taken into account automatically. The main characteristic behind this approach is that it reduces equations to those of solving a system of algebraic equations which greatly simplifies the problem. Several numerical examples are solved to demonstrate the validity and applicability of the presented method. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 95
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 128375840
- Full Text :
- https://doi.org/10.1080/00207160.2017.1303139