Abstract
Two numerical methods with graded temporal grids are analyzed for fractional evolution equations. One is a low-order discontinuous Galerkin (DG) discretization in the case of fractional order $$0<\alpha <1$$ , and the other one is a low-order Petrov Galerkin (PG) discretization in the case of fractional order $$1<\alpha <2$$ . By a new duality technique, pointwise-in-time error estimates of first-order and $$ (3-\alpha ) $$ -order temporal accuracies are respectively derived for DG and PG, under reasonable regularity assumptions on the initial value. Numerical experiments are performed to verify the theoretical results.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
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
