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Application of the collocation method to multipoint boundary-value problems with integral boundary conditions

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Abstract

An algebraic collocation method for approximating solutions of systems of nonlinear ordinary differential equations is shown to be applicable in the case of linear multipoint boundary conditions containing definite integrals.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 11, pp. 1548–1555, November, 1992.

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Ronto, N.I., Putyatina, T.V. Application of the collocation method to multipoint boundary-value problems with integral boundary conditions. Ukr Math J 44, 1424–1432 (1992). https://doi.org/10.1007/BF01071518

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  • DOI: https://doi.org/10.1007/BF01071518

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