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Avazzadeh, Z., Hosseini, V. R., Chen, W.. (1393). Radial basis functions and FDM for solving fractional diffusion-wave equation. , 38(3), 205-212. doi: 10.22099/ijsts.2014.2260
Z. Avazzadeh; V. R. Hosseini; W. Chen. "Radial basis functions and FDM for solving fractional diffusion-wave equation". , 38, 3, 1393, 205-212. doi: 10.22099/ijsts.2014.2260
Avazzadeh, Z., Hosseini, V. R., Chen, W.. (1393). 'Radial basis functions and FDM for solving fractional diffusion-wave equation', , 38(3), pp. 205-212. doi: 10.22099/ijsts.2014.2260
Avazzadeh, Z., Hosseini, V. R., Chen, W.. Radial basis functions and FDM for solving fractional diffusion-wave equation. , 1393; 38(3): 205-212. doi: 10.22099/ijsts.2014.2260

Radial basis functions and FDM for solving fractional diffusion-wave equation

Iranian Journal of Science
مقاله 2، دوره 38، شماره 3، آبان 2014، صفحه 205-212    اصل مقاله (363.58 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2014.2260
نویسندگان
Z. Avazzadeh* 1؛ V. R. Hosseini2؛ W. Chen2
1State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China
2State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China
چکیده
In this work, we apply the radial basis functions for solving the time fractional diffusion-wave equation defined by Caputo sense for                         . The problem is discretized in the time direction based on finite difference scheme and is continuously approximated by using the radial basis functions in the space direction which achieves the semi-discrete solution. Numerical results show the accuracy and efficiency of the presented method.
کلیدواژه‌ها
Diffusion-wave equation؛ Fractional derivative؛ Radial basis functions؛ finite difference scheme
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