Abstract
In this article, we present the immersed finite element (IFE) method to solve time fractional diffusion equation with discontinuous coefficients, in which the Caputo fractional derivative is approximated by nonuniform L1 scheme to deal with singularity of solution. For interface problems caused by discontinuous coefficients in space, we adopt the nonconforming immersed finite element method to discrete. Then the stabilities under L2(Ω) norm and broken H1(Ω) seminorm of fully discrete scheme are analyzed. Based on these results, error estimates in L2(Ω) norm and broken H1(Ω) seminorm of fully immersed finite element scheme are obtained. Finally, several numerical examples are presented to illustrate the theoretical results.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
