Dynamic Iteration Methods for Differential Equations with Mixed Modification of the Argument
نویسنده
چکیده
In this paper we study dynamic iteration techniques for nonlinear differential equations with mixed modification of the argument. The dynamic iteration method generalizes the well known Picard iterations, improving significantly the convergence speed of the iterative process. It also have the advantage of decoupling the part containing the modified argument so the iteration steps consist in solving only ordinary differential equations. Error estimates are given, proving superlinear convergence for the dynamic iteration.
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