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2012 A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations
Fenghui Huang
Int. J. Differ. Equ. 2012(SI2): 1-19 (2012). DOI: 10.1155/2012/495202

Abstract

A numerical scheme is presented for a class of time fractional differential equations with Dirichlet's and Neumann's boundary conditions. The model solution is discretized in time and space with a spectral expansion of Lagrange interpolation polynomial. Numerical results demonstrate the spectral accuracy and efficiency of the collocation spectral method. The technique not only is easy to implement but also can be easily applied to multidimensional problems.

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Fenghui Huang. "A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations." Int. J. Differ. Equ. 2012 (SI2) 1 - 19, 2012. https://doi.org/10.1155/2012/495202

Information

Received: 22 May 2012; Revised: 26 July 2012; Accepted: 29 July 2012; Published: 2012
First available in Project Euclid: 2 October 2020

zbMATH: 1267.35243
MathSciNet: MR2967999
Digital Object Identifier: 10.1155/2012/495202

Rights: Copyright © 2012 Hindawi

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