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

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2013-06-01
Priya, G. Sudha
Prakash, P.
Nieto, J. J.
Kayar, Z.
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.

Citation Formats
G. S. Priya, P. Prakash, J. J. Nieto, and Z. Kayar, “Higher-Order Numerical Scheme for the Fractional Heat Equation with Dirichlet and Neumann Boundary Conditions,” NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, vol. 63, no. 6, pp. 540–559, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67362.