A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations | Zendy

Fenghui Huang | Zendy

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A Time-Space Collocation Spectral Approximation for a Class of Time Fractional Differential Equations

Author(s) -

Fenghui Huang

Publication year - 2012

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2012/495202

Subject(s) - mathematics , lagrange polynomial , collocation (remote sensing) , discretization , spectral method , orthogonal collocation , mathematical analysis , interpolation (computer graphics) , collocation method , boundary value problem , fractional calculus , class (philosophy) , boundary (topology) , polynomial , differential equation , ordinary differential equation , motion (physics) , remote sensing , artificial intelligence , computer science , geology

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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