We study the combination of the Sinc and the Gaussian radial basis functions (GRBF) to develop the numerical methods for the time--space fractional diffusion equations with the Riesz fractional derivative. The GRBF is used to approximate the unknown function in spatial direction and the Sinc quadrature rule associated with double exponential transformation is applied to approximate the arising integrals. Three practical examples are considered for testing the ability of the proposed method.
Mohammadi Rick, S., Jalil, R., & Refahi Sheikhani, A. H. (2022). Combination of Sinc and radial basis functions for time-space fractional diffusion equations. Journal of Mathematical Modeling, 10(2), 315-329. doi: 10.22124/jmm.2021.17929.1546
MLA
Solmaz Mohammadi Rick; Rashidinia Jalil; Amir hosein Refahi Sheikhani. "Combination of Sinc and radial basis functions for time-space fractional diffusion equations". Journal of Mathematical Modeling, 10, 2, 2022, 315-329. doi: 10.22124/jmm.2021.17929.1546
HARVARD
Mohammadi Rick, S., Jalil, R., Refahi Sheikhani, A. H. (2022). 'Combination of Sinc and radial basis functions for time-space fractional diffusion equations', Journal of Mathematical Modeling, 10(2), pp. 315-329. doi: 10.22124/jmm.2021.17929.1546
VANCOUVER
Mohammadi Rick, S., Jalil, R., Refahi Sheikhani, A. H. Combination of Sinc and radial basis functions for time-space fractional diffusion equations. Journal of Mathematical Modeling, 2022; 10(2): 315-329. doi: 10.22124/jmm.2021.17929.1546
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