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Combination of Sinc and radial basis functions for time-space fractional diffusion equations | ||
Journal of Mathematical Modeling | ||
دوره 10، شماره 2، شهریور 2022، صفحه 315-329 اصل مقاله (940.75 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2021.17929.1546 | ||
نویسندگان | ||
Solmaz Mohammadi Rick1؛ Rashidinia Jalil* 2؛ Amir hosein Refahi Sheikhani1 | ||
1Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran | ||
2School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 168613114, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Fractional diffusion equations؛ Sinc method؛ double exponential transformation؛ Gaussian radial basis functions | ||
آمار تعداد مشاهده مقاله: 663 تعداد دریافت فایل اصل مقاله: 813 |