Title: Approximate Inversion Method for Time Fractional Partial Differential Equations
In this talk, we are mainly concerned with a block lower triangular Toeplitz (BLTT) linear system which arises from the finite difference discretization of time fractional partial differential equations. The approximate inversion method is employed to solve this system in a fast way. Then a sufficient condition is proved to guarantee the high accuracy of the approximate inversion method for solving the BLTT systems, which is easy to verify in practice and has a wide range of applications. The applications of this sufficient condition to several existing finite difference schemes are investigated. Finally, some numerical experiments are presented to verify the validity of theoretical results.
This is a joint work with Prof. Hong-Kui Pang and Prof. Hai-Wei Sun.