Numerical analysis for a variable-order nonlinear cable equation
| Data(s) |
01/08/2011
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| Resumo |
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. |
| Formato |
application/pdf |
| Identificador | |
| Publicador |
Elsevier |
| Relação |
http://eprints.qut.edu.au/45864/1/Numerical_analysis_for_a_variable-order_non-linear_cable_equation.pdf DOI:10.1016/j.cam.2011.06.019 Chen, Chang-Ming, Liu, Fawang, & Burrage, Kevin (2011) Numerical analysis for a variable-order nonlinear cable equation. Journal of Computational and Applied Mathematics, 236(2), pp. 209-224. |
| Direitos |
Copyright 2011 Elsevier |
| Fonte |
Faculty of Science and Technology; Mathematical Sciences |
| Palavras-Chave | #089900 OTHER INFORMATION AND COMPUTING SCIENCES #Variable-order nonlinear cable equation #Variable-order Riemann–Liouville fractional partial derivative #Convergence #Stability #Fourier analysis |
| Tipo |
Journal Article |
