ArticleOriginal scientific text
Title
On the method of lines for a non-linear heat equation with functional dependence
Authors 1
Affiliations
- Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland
Abstract
We consider a heat equation with a non-linear right-hand side which depends on certain Volterra-type functionals. We study the problem of existence and convergence for the method of lines by means of semi-discrete inverse formulae.
Keywords
method of lines, stability, consistency
Bibliography
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Pages:
61-74
Main language of publication
English
Received
1997-04-14
Accepted
1997-11-17
Published
1998
Exact and natural sciences