Abstract
This article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made. Examples and numerical experiments, such as man-made noise, are provided to show the stability and efficiency of this numerical method.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference32 articles.
1. Reconstruction of a time-dependent source term in a time-fractional diffusion equation
2. Fractals and Fractional Calculus in Continuum Mechanics;Caepinteri,1997
3. Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
4. Differential operators of fractional order and boundary value problems in the complex domain;Djrbashian,1989
5. Sur la nouvelle fonction eα (x);Mittag-Leffler;CR Acad. Sci. Paris,1903
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献