摘要
考虑了一类含有Riesz-Feller位势的两边空间分数阶Lévy-Feller扩散方程的差分问题。利用分数阶微分算子的等价性,提出了一种加权有限差分解法,并证明了所提出的差分格式是稳定和收敛的。最后通过一个数值例子说明了所提出的差分格式是有效和可靠的。
A finite difference problem for two-sided space fractional Lévy-Feller diffusion equation with Riesz-Feller potential is considered. By using the equivalent of fractional order differential operators, a weighted finite difference scheme for scattering the above diffusion equation is proposed. The stability and convergence of the scheme were analyzed. Finally, a numerical example was provided to demonstrate the validity and applicability of the difference scheme.
出处
《井冈山大学学报（自然科学版）》
2014年第5期18-21,共4页
Journal of Jinggangshan University (Natural Science)
基金
国家自然科学基金项目(10671132
60673192)
攀枝花市市级应用技术研究与开发资金项目(2014cy-G-22)
攀枝花学院校级培育项目(2012PY08)
攀枝花学院校级科研项目(2013YB05)
攀枝花学院院级科研创新项目(Y2013-04)
