Sinc-Jacobi Collocation Algorithm for Solving the Time-Fractional Diffusion-Wave Equations (Published)
In this paper, we present a numerical method for fractional diffusion equations with variable coefficients. This method is based on Shifted Jacobi collocation scheme and Sinc functions approximation for temporal and spatial discretizations, respectively. The method consists of reducing the problem to the solution of linear algebraic equations by expanding the required approximate solution as the elements of shifted Jacobi polynomials in time and the Sinc functions in space with unknown coefficients. Some examples are provided to illustrate the applicability and the simplicity of the proposed numerical scheme.
Keywords: Collocation method, Fractional diffusion equation., Sinc functions, shifted Jacobi polynomials
SINC-JACOBI COLLOCATION ALGORITHM FOR SOLVING THE TIME-FRACTIONAL DIFFUSION-WAVE EQUATIONS (Published)
In this paper, we present a numerical method for fractional diffusion equations with variable coefficients. This method is based on Shifted Jacobi collocation scheme and Sinc functions approximation for temporal and spatial discretizations, respectively. The method consists of reducing the problem to the solution of linear algebraic equations by expanding the required approximate solution as the elements of shifted Jacobi polynomials in time and the Sinc functions in space with unknown coefficients. Some examples are provided to illustrate the applicability and the simplicity of the proposed numerical scheme.
Keywords: Collocation method, Fractional diffusion equation., Sinc functions, shifted Jacobi polynomials