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Soltanpour Moghadam, Abolfazl, Arabameri, Maryam, Barfeie, Mahdiar. (1401). Numerical solution of space-time variable fractional order advection-dispersion equation using radial basis functions. فیزیولوژی و بیوتکنولوژی آبزیان, 10(3), 549-562. doi: 10.22124/jmm.2022.21325.1868
Abolfazl Soltanpour Moghadam; Maryam Arabameri; Mahdiar Barfeie. "Numerical solution of space-time variable fractional order advection-dispersion equation using radial basis functions". فیزیولوژی و بیوتکنولوژی آبزیان, 10, 3, 1401, 549-562. doi: 10.22124/jmm.2022.21325.1868
Soltanpour Moghadam, Abolfazl, Arabameri, Maryam, Barfeie, Mahdiar. (1401). 'Numerical solution of space-time variable fractional order advection-dispersion equation using radial basis functions', فیزیولوژی و بیوتکنولوژی آبزیان, 10(3), pp. 549-562. doi: 10.22124/jmm.2022.21325.1868
Soltanpour Moghadam, Abolfazl, Arabameri, Maryam, Barfeie, Mahdiar. Numerical solution of space-time variable fractional order advection-dispersion equation using radial basis functions. فیزیولوژی و بیوتکنولوژی آبزیان, 1401; 10(3): 549-562. doi: 10.22124/jmm.2022.21325.1868

Numerical solution of space-time variable fractional order advection-dispersion equation using radial basis functions

Journal of Mathematical Modeling
دوره 10، شماره 3، آذر 2022، صفحه 549-562    اصل مقاله (324.65 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2022.21325.1868
نویسندگان
Abolfazl Soltanpour Moghadam1؛ Maryam Arabameri* 1؛ Mahdiar Barfeie2
1Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
2Department of Mathematics and Computer Science, Sirjan University of Technology, Sirjan, Iran
چکیده
This paper aims to advance the radial basis function method for solving space-time variable-order fractional partial differential equations. The fractional derivatives for time and space are considered in the Coimbra and the Riemann-Liouville sense, respectively. First, the time-variable fractional derivative is discretized through a finite difference approach. Then, the space-variable fractional derivative is approximated by radial basis functions. Also, we advance the Rippa algorithm to obtain a good value for the shape parameter of the radial basis functions. Results obtained from numerical experiments have been compared to the analytical solutions, which indicate high accuracy and efficiency for the proposed scheme.
کلیدواژه‌ها
Advection-dispersion equation؛ Radial basis functions؛ Coimbra fractional derivative؛ Riemann-Liouville fractional derivative
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تعداد مشاهده مقاله: 524
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