Error estimates for the semidiscrete finite element approximation of linear nonlocal parabolic equations. (1992)

• Record Type: Journal Article
• Authors: Jackson, Dennis E.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 5:Number 1(1992)
• Page Start: 19
• Page End: 27
• Publication Date: 1992
• Subjects: nonlocal parabolic equations -- semidiscrete finite element approximations -- error estimates; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953392000029
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : Existence and uniqueness are proved for nonlocal (in time) for solutions of linear parabolic partial differential equations. Instead of an initial condition, there is a relation connecting the initial value to values of the solution at other times. L 2 error estimates are obtained for the semidiscrete approximation of the problem using finite elements in the space variables.