Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions

Date

2013-06-01

Author

Priya, G. Sudha
Prakash, P.
Nieto, J. J.
Kayar, Z.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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In this article, we consider a higher-order numerical scheme for the fractional heat equation with Dirichlet and Neumann boundary conditions. By using a fourth-order compact finite-difference scheme for the spatial variable, we transform the fractional heat equation into a system of ordinary fractional differential equations which can be expressed in integral form. Further, the integral equation is transformed into a difference equation by a modified trapezoidal rule. Numerical results are provided to verify the accuracy and efficiency of the proposed algorithm.

Subject Keywords

Modelling and Simulation, Mechanics of Materials, Condensed Matter Physics, Numerical Analysis, Computer Science Applications

URI

https://hdl.handle.net/11511/67362

Collections

Department of Mathematics, Article