## M.Kutniv, and M.Hermann, A two-point difference scheme of arbitrary given accuracy order for BVPs for systems of first order nonlinear ODEs, CMAM

- V. L. Makarov, I. P. Gavrilyuk
- 2004

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@inproceedings{Gavrilyuk2005VARIABLEOD, title={VARIABLE ORDER DIFFERENCE SCHEMES FOR NONLINEAR TWO-POINT BVPs}, author={Ivan P. Gavrilyuk and Martin Hermann and Myroslav V. Kutniv and Volodymyr L. Makarov}, year={2005} }

- Published 2005

Two-point boundary value problems for a system of nonlinear first order ordinary differential equations are considered. It was shown in former papers of the authors that starting from the two-point exact difference scheme (EDS) one can derive a so-called truncated difference scheme (TDS) which possesses a prescribed order of accuracy O(|h|m) w.r.t. the maximal step size |h|. This m-TDS represents a system of nonlinear algebraic equations for the approximate values of the exact solution on the… CONTINUE READING