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Convergence results for unbounded solutions of first order non-linear differential-functional equations

100%

Leszczyński H.

Annales Polonici Mathematici

1996

tom 64

nr 1

1-16

We consider the Cauchy problem in an unbounded region for equations of the type either $D_{t}z(t,x) = f(t,x,z(t,x),z_{(t,x)},D_{x}z(t,x))$ or $D_{t}z(t,x)= f(t,x,z(t,x),z,D_{x}z(t,x))$. We prove convergence of their difference analogues by means of recurrence inequalities in some wide classes of unbounded functions.

A numerical solution of a two-dimensional transport equation

75%

Martin O.

Open Mathematics

2004

tom 2

nr 2

191-198

In this paper we present a variational method for approximating solutions of the Dirichlet problem for the neutron transport equation in the stationary case. Error estimates from numerical examples are used to evaluate an approximation of the solution with respect to the steps of two grids.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Open Mathematics

1 Leszczyński H.

1 Martin O.

1 2004

1 1996

Wyniki wyszukiwania

Convergence results for unbounded solutions of first order non-linear differential-functional equations

A numerical solution of a two-dimensional transport equation