Numerical solutions to the Darboux problem with functional dependence.
On the method of lines for a non-linear heat equation with functional dependence
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
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