On the method of lines for a non-linear heat equation with functional dependence
Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 61-74.

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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.
DOI : 10.4064/ap-69-1-61-74
Keywords: method of lines, stability, consistency

H. Leszczyński 1

1
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H. Leszczyński. On the method of lines for a non-linear heat equation with functional dependence. Annales Polonici Mathematici, Tome 69 (1998) no. 1, pp. 61-74. doi : 10.4064/ap-69-1-61-74. http://geodesic.mathdoc.fr/articles/10.4064/ap-69-1-61-74/

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