Journal
COMPUTING
Volume 90, Issue 3-4, Pages 89-111Publisher
SPRINGER WIEN
DOI: 10.1007/s00607-010-0105-0
Keywords
Parabolic integro-differential equation; Finite element method; Stability; Error estimate
Categories
Funding
- National Natural Science Foundation of China [10971062]
Ask authors/readers for more resources
We study the numerical solution of an initial-boundary value problem for parabolic integro-differential equation with a weakly singular kernel. The main purpose of this paper is to construct and analyze stable and high order scheme to efficiently solve the integro-differential equation. The equation is discretized in time by the finite central difference and in space by the finite element method. We prove that the full discretization is unconditionally stable and the numerical solution converges to the exact one with order O(Delta t(2) + h(l)). A numerical example demonstrates the theoretical results.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available