Doubling Smith Method for a Class of Large-Scale Generalized Fractional Diffusion Equations
نویسندگان
چکیده
The implicit difference approach is used to discretize a class of generalized fractional diffusion equations into series linear equations. By rearranging the as matrix form, separable forcing term and coefficient matrices are shown be low-ranked nonsingular M-matrix structure, respectively. A doubling Smith method with determined optimally iterative parameters presented for solving corresponding equation. In comparison existing Krylov solver Fast Fourier Transform (FFT) sequence Toeplitz system, numerical examples demonstrate that proposed more effective on CPU time large-scale problems.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2023
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract7050380