Numerical analysis for a variable-order nonlinear cable equation
نویسندگان
چکیده
In this paper, a variable-order nonlinear cable equation is considered. The 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 supports the theoretical analysis.
منابع مشابه
Nonlinear Cable equation, Fractional differential equation, Radial point interpolation method, Meshless local Petrov – Galerkin, Stability analysis
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ورودعنوان ژورنال:
- J. Computational Applied Mathematics
دوره 236 شماره
صفحات -
تاریخ انتشار 2011