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)。