State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China
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.
Avazzadeh, Z., Hosseini, V. R., & Chen, W. (2014). Radial basis functions and FDM for solving fractional diffusion-wave equation. Iranian Journal of Science, 38(3), 205-212. doi: 10.22099/ijsts.2014.2260
MLA
Z. Avazzadeh; V. R. Hosseini; W. Chen. "Radial basis functions and FDM for solving fractional diffusion-wave equation", Iranian Journal of Science, 38, 3, 2014, 205-212. doi: 10.22099/ijsts.2014.2260
HARVARD
Avazzadeh, Z., Hosseini, V. R., Chen, W. (2014). 'Radial basis functions and FDM for solving fractional diffusion-wave equation', Iranian Journal of Science, 38(3), pp. 205-212. doi: 10.22099/ijsts.2014.2260
VANCOUVER
Avazzadeh, Z., Hosseini, V. R., Chen, W. Radial basis functions and FDM for solving fractional diffusion-wave equation. Iranian Journal of Science, 2014; 38(3): 205-212. doi: 10.22099/ijsts.2014.2260
)