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Two-point difference schemes for systems of nonlinear BVPs

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Book cover Exact and Truncated Difference Schemes for Boundary Value ODEs

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 159))

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Abstract

Note that the EDS and TDS are very similar to the multiple shooting method [2, 35, 39, 40, 79]. Both techniques are based on the successive solution of IVPs on small subintervals and are theoretically supported by a posteriori error estimates. However, the advantage of our difference methods is that a unified theory of a priori estimates can be established.

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Correspondence to Ivan P. Gavrilyuk .

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Gavrilyuk, I.P., Hermann, M., Makarov, V.L., Kutniv, M.V. (2011). Two-point difference schemes for systems of nonlinear BVPs. In: Exact and Truncated Difference Schemes for Boundary Value ODEs. International Series of Numerical Mathematics, vol 159. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0107-2_2

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