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含有Riesz-Feller位势的非线性变阶分数阶Lévy-Feller扩散方程的全隐差分格式

Fully implicit finite difference scheme for the variable-order nonlinear fractional Lévy-Feller diffusion equation with Riesz-Feller potential
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摘要 对于含有Riesz-Feller位势的非线性变阶分数阶Lévy-Feller扩散方程,提出了一种全隐的差分格式。通过离散的能量方法证明了所提出的格式是无条件稳定和收敛的,收敛阶为O(τ+h)。最后,通过数值例子验证了全隐差分格式是有效和可靠的。 A fully implicit finite difference scheme for the variable-order nonlinear fractional Lévy-Feller diffusion equation with Riesz-Feller is considered.It is shown that the method is unconditional stable and convergence by discrete energy method.The convergence order of the method is O(τ+h).Finally,numerical results demonstrate that the method is efficient and reliable.
作者 吴春 刘冬兵 WU Chun;LIU Dongbing(College of Mathematics Sciences,Chongqing Normal University,Chongqing 401331,China;College of Mathematics and Computer,Panzhihua University,Panzhihua,Sichuan 617000,China)
出处 《贵州师范大学学报(自然科学版)》 CAS 2020年第6期64-67,共4页 Journal of Guizhou Normal University:Natural Sciences
基金 重庆市科委科研面上项目(cstc2019jcyj-msxmX0390) 四川省科技厅应用基础研究项目(2019YJ0683) 攀枝花市市级科研项目(2019ZD-R-1)。
关键词 Lévy-Feller扩散方程 全隐差分格式 稳定性 收敛性 Lévy-Feller diffusion equation fully implicit difference scheme stability convergency
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