Convergence of finite difference method for the generalized solutions of Sobolev equations

Chung, S. K. ; Pani, A. K. ; Park, M. G. (1997) Convergence of finite difference method for the generalized solutions of Sobolev equations Journal of the Korean Mathematical Society, 34 (3). pp. 515-531. ISSN 0304-9914

[img]
Preview
PDF - Publisher Version
142kB

Official URL: http://basilo.kaist.ac.kr/mathnet/kms_tex/14972.pd...

Abstract

In this paper, finite difference method is applied to approximate the generalized solutions of Sobolev equations. Using the Steklov mollifier and BrambleHilbert Lemma, a priori error estimates in discrete L2 as well as in discrete H1 norms are derived first for the semidiscrete methods. For the fully discrete schemes, both backward Euler and CrankNicolson methods are discussed and related error analyses are also presented.

Item Type:Article
Source:Copyright of this article belongs to Korean Mathematical Society, Seoul.
ID Code:81977
Deposited On:09 Feb 2012 04:37
Last Modified:18 May 2016 23:20

Repository Staff Only: item control page