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On the method of lines for a non-linear heat equation with functional dependence

H. Leszczyński — 1998

Annales Polonici Mathematici

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.

Convergence of one-step difference methods for nonlinear parabolic differential-functional systems with initial boundary conditions of Dirichlet type

H. Leszczyński — 1991

Commentationes Mathematicae

The article contains no abstract

Numerical solutions to the Darboux problem with functional dependence.

Kamont, Z.; Leszczyński, H. — 1998

Georgian Mathematical Journal

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