A two-dimensional Chebyshev wavelets approach for solving the Fokker-Planck equations of time and space fractional derivatives type with variable coefficients

作者：Xie, Jiaquan^*; Yao, Zhibin; Gui, Hailian; Zhao, Fuqiang; Li, Dongyang

来源：Applied Mathematics and Computation, 2018, 332: 197-208.

DOI：10.1016/j.amc.2018.03.040

• Two-dimensional Chebyshev wavelet
• Fokker-Planck equations of time and space derivatives type
• Variable coefficients
• Numerical solutions

In the current study, we consider the numerical solutions of the Fokker-Planck equations of time and space fractional derivative type with variable coefficients. The proposed method is based on the two-dimensional Chebyshev wavelet basis together with their corresponding operational matrices of fractional-order integration. The convergence analysis of the proposed method is rigorously established. Numerical tests are carried out to confirm the effectiveness and feasibility of the proposed scheme.

• 出版日期2018-9-1
• 单位太原科技大学