Abstract
We study systems with delay effect that contain additional algebraic relations. We propose semiexplicit numerical methods of the Rosenbrock type. We prove the solvability of equations of a numerical model and estimate the order of the global error. The chosen parameters provide the third order of the error.
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References
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Original Russian Text © A.V. Lekomtsev and V.G. Pimenov, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 5, pp. 62–67.
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Lekomtsev, A.V., Pimenov, V.G. A semiexplicit method for numerical solution of functional differential algebraic equations. Russ Math. 53, 54–58 (2009). https://doi.org/10.3103/S1066369X09050077
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DOI: https://doi.org/10.3103/S1066369X09050077