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Numerical Method for the Solution of Linear Boundary-Value Problems for Integrodifferential Equations Based on Spline Approximations

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Ukrainian Mathematical Journal Aims and scope

We propose a numerical method for the solution of linear boundary-value problems for systems of integrodifferential equations. The method is based on the approximation of the integral term by a cubic spline and the reduction of the original problem to a linear boundary-value problem for a system of loaded differential equations. We also propose new algorithms for finding the numerical solutions and a method for the construction of approximate solutions to the approximating boundary-value problems.

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling; Institute of Information and Computational Technologies, Almaty, Kazakhstan

    E. A. Bakirova & A. T. Assanova

  2. Institute of Information and Computational Technologies; Abai Kazakhstan National Pedagogic University, Almaty, Kazakhstan

    N. B. Iskakova

Authors
  1. E. A. Bakirova
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  2. N. B. Iskakova
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  3. A. T. Assanova
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Corresponding author

Correspondence to A. T. Assanova.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 9, pp. 1176–1191, September, 2019.

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Bakirova, E.A., Iskakova, N.B. & Assanova, A.T. Numerical Method for the Solution of Linear Boundary-Value Problems for Integrodifferential Equations Based on Spline Approximations. Ukr Math J 71, 1341–1358 (2020). https://doi.org/10.1007/s11253-020-01719-8

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  • DOI: https://doi.org/10.1007/s11253-020-01719-8

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