Query：
学者姓名：林然
Refining：
Year
Type
Indexed by
Source
Complex
Co-
Language
Clean All
Abstract ：
In this paper, we consider the variable-order nonlinear fractional diffusion equation partial derivative u(x, t)/partial derivative t = B(x, t)(x)R(alpha(x, t))u(x, t) + f (u, x, t), where R-x(alpha(x,t)) is a generalized Riesz fractional derivative of variable order alpha(x, t) (1 < alpha(x, t) <= 2) and the nonlinear reaction term f (u, x, t) satisfies the Lipschitz condition vertical bar f(u(1), x, t) - f(u(2), x, t)vertical bar <= L vertical bar u(1) - u(2)vertical bar. A new explicit finite-difference approximation is introduced. The convergence and stability of this approximation are proved. Finally, some numerical examples are provided to show that this method is computationally efficient. The proposed method and techniques are applicable to other variable-order nonlinear fractional differential equations. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.
Keyword ：
Convergence Convergence Explicit difference approximation Explicit difference approximation Fractional calculus Fractional calculus Nonlinear fractional diffusion equation Nonlinear fractional diffusion equation Stability Stability Variable order Variable order
Cite：
Copy from the list or Export to your reference management。
| GB/T 7714 | Lin, R. , Liu, F. , Anh, V. et al. Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation [J]. | APPLIED MATHEMATICS AND COMPUTATION , 2009 , 212 (2) : 435-445 . |
| MLA | Lin, R. et al. "Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation" . | APPLIED MATHEMATICS AND COMPUTATION 212 . 2 (2009) : 435-445 . |
| APA | Lin, R. , Liu, F. , Anh, V. , Turner, I. . Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation . | APPLIED MATHEMATICS AND COMPUTATION , 2009 , 212 (2) , 435-445 . |
| Export to | NoteExpress RIS BibTex |
Version ：
Export
| Results： |
Selected to |
| Format： |
