J4 ›› 2013, Vol. 48 ›› Issue (2): 93-97.
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MA Wei-yuan, ZHANG Hai-dong, SHAO Ya-bin
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Abstract:
A fully implicit finite difference scheme for the variable-order nonlinear fractional diffusion equation is considered. It is shown that the method is unconditional stable by discrete energy method. The convergence order of the method is O(τ+h). Numerical results demonstrate that the method is efficient and reliable.
Key words: variable-order nonlinear fractional diffusion equation; fully implicit difference scheme; iterative algorithm; convergence; stability
MA Wei-yuan, ZHANG Hai-dong, SHAO Ya-bin. Fully implicit finite difference scheme for the variable-order nonlinear fractional diffusion equation[J].J4, 2013, 48(2): 93-97.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2013/V48/I2/93
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