Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term
| Data(s) |
2011
|
|---|---|
| Resumo |
In this paper, we consider the variable-order Galilei advection diffusion equation with a nonlinear source term. A numerical scheme with first order temporal accuracy and second order spatial accuracy is developed to simulate the equation. The stability and convergence of the numerical scheme are analyzed. Besides, another numerical scheme for improving temporal accuracy is also developed. Finally, some numerical examples are given and the results demonstrate the effectiveness of theoretical analysis. Keywords: The variable-order Galilei invariant advection diffusion equation with a nonlinear source term; The variable-order Riemann–Liouville fractional partial derivative; Stability; Convergence; Numerical scheme improving temporal accuracy |
| Formato |
application/pdf |
| Identificador | |
| Publicador |
Elsevier Inc. |
| Relação |
http://eprints.qut.edu.au/42692/1/42692.pdf DOI:10.1016/j.amc.2010.12.049 Chen, Chang-Ming, Liu, Fawang, Anh, Vo, & Turner, Ian (2011) Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term. Applied Mathematics and Computation, 217(12), pp. 5729-5742. |
| Fonte |
Faculty of Science and Technology; Mathematical Sciences |
| Palavras-Chave | #010200 APPLIED MATHEMATICS #010300 NUMERICAL AND COMPUTATIONAL MATHEMATICS #The variable-order Galilei invariant advection diffusion equation with a nonlinear source term, The variable-order Riemann-Liouville fractional partial derivative, Stability, Convergence, Numerical scheme improving temporal accuracy |
| Tipo |
Journal Article |
