On the method of lines for a non-linear heat equation with functional dependence
Volume 69 / 1998
Annales Polonici Mathematici 69 (1998), 61-74 DOI: 10.4064/ap-69-1-61-74
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.