Numerical analysis for a variable-order nonlinear cable equation

作者：Chen Chang Ming; Liu F^*; Burrage K

来源：Journal of Computational and Applied Mathematics, 2011, 236(2): 209-224.

DOI：10.1016/j.cam.2011.06.019

• Variable-order nonlinear cable equation
• Variable-order Riemann-Liouville fractional partial derivative
• Convergence
• Stability
• Fourier analysis

In this paper, a variable-order nonlinear cable equation is considered. A numerical method with first-order temporal accuracy and fourth-order spatial accuracy is proposed. The convergence and stability of the numerical method are analyzed by Fourier analysis. We also propose an improved numerical method with second-order temporal accuracy and fourth-order spatial accuracy. Finally, the results of a numerical example support the theoretical analysis.

• 出版日期2011-8-15
• 单位厦门大学