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Solving a System of First-Order Partial Differential Equations Using Decomposition Methods

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Cybernetics and Systems Analysis Aims and scope

The paper describes simplifying a system of equations by decomposing it into independent subsystems or by hierarchical (sequential) decomposition. The authors have developed algebraic methods for transforming coefficient matrices into block-diagonal or block-triangular forms. They allow one to simplify the problem significantly and obtain an analytical solution in many cases.

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Author information

Authors and Affiliations

  1. State Higher Educational Establishment “Prydniprovs’ka State Academy of Civil Engineering and Architecture,” , Dnipro, Ukraine

    Y. N. Bazylevych

  2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute, Kyiv, Ukraine

    I. A. Kostiushko

  3. Dnipropetrovsk State University of Internal Affairs, Dnipto, Ukraine

    O. D. Stanina

Authors
  1. Y. N. Bazylevych
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  2. I. A. Kostiushko
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  3. O. D. Stanina
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Corresponding author

Correspondence to Y. N. Bazylevych.

Additional information

Translated from Kibernetyka ta Systemnyi Analiz, No. 3, May–June, 2023, pp. 127–132

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Bazylevych, Y.N., Kostiushko, I.A. & Stanina, O.D. Solving a System of First-Order Partial Differential Equations Using Decomposition Methods. Cybern Syst Anal 59, 467–472 (2023). https://doi.org/10.1007/s10559-023-00581-3

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  • DOI: https://doi.org/10.1007/s10559-023-00581-3

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