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- Title
A Legendre Computational Matrix Method for Solving High-Order Fractional Differential Equations.
- Authors
KHADER, Mohamed Meabed; HENDY, Ahmed Saied
- Abstract
In this paper, a matrix method for the approximate solution of high order fractional differential equations (FDEs) in terms of a truncated Legendre series is presented. The FDEs and its initial or boundary conditions are transformed to matrix equations, which correspond to a system of algebraic equations with unknown Legendre coefficients. The solution of this system yields the Legendre coefficients of the solution formula. Several numerical examples, such as Cauchy and Bagley-Torvik fractional differential equations, are provided to confirm the accuracy and the effectiveness of the proposed method.
- Subjects
LEGENDRE'S functions; FRACTIONAL differential equations; NUMERICAL solutions to differential equations; APPROXIMATE solutions (Logic); BOUNDARY value problems
- Publication
Walailak Journal of Science & Technology, 2014, Vol 11, Issue 4, p289
- ISSN
1686-3933
- Publication type
Article