Numerical analysis for a variable-order nonlinear cable equation
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.
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|Item Type:||Journal Article|
|Keywords:||Variable-order nonlinear cable equation, Variable-order Riemann–Liouville fractional partial derivative, Convergence, Stability, Fourier analysis|
|Subjects:||Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > OTHER INFORMATION AND COMPUTING SCIENCES (089900)|
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Schools > Mathematical Sciences
|Copyright Owner:||Copyright 2011 Elsevier|
|Deposited On:||12 Sep 2011 01:19|
|Last Modified:||13 Sep 2011 17:04|
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