Displaying similar documents to “Differential procedures for systems of implicit relations and implicitly coupled nonlinear boundary value problems”

One-step methods for ordinary differential equations with parameters

Tadeusz Jankowski (1990)

Aplikace matematiky

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In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.

First kind integral equations for the numerical solution of the plane Dirichlet problem

Søren Christiansen (1989)

Aplikace matematiky

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We present, in a uniform manner, several integral equations of the first kind for the solution of the two-dimensional interior Dirichlet boundary value problem. We apply a general numerical collocation method to the various equations, and thereby we compare the various integral equations, and recommend two of them. We give a survey of the various numerical methods, and present a simple method for the numerical solution of the recommended integral equations.