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Approximating a Class of Linear Third-Order Ordinary Differential Problems

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Progress in Industrial Mathematics at ECMI 2018

Part of the book series: Mathematics in Industry ((TECMI,volume 30))

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Abstract

In this work, a procedure to approximate the solution of special linear third-order matrix differential problems of the type Y (3)(x) = A(x)Y (x) + B(x) with higher-order matrix splines is proposed. An illustrative example is given.

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Acknowledgements

The authors wish to thank for financial support by the Spanish Ministerio de Economía y Competitividad under grant TIN2017-89314-P, and by the Universitat Politècnica de València under grant PAID-06-18/SP20180016.

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Authors and Affiliations

  1. Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain

    Emilio Defez & Michael M. Tung

  2. Instituto de Instrumentación para Imagen Molecular, Universitat Politècnica de València, Valencia, Spain

    J. Ibáñez

  3. Instituto de Telecomunicaciones y Aplicaciones Multimedia, Universitat Politècnica de València, Valencia, Spain

    Jorge Sastre

Authors
  1. Emilio Defez
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  2. Michael M. Tung
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  3. J. Ibáñez
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  4. Jorge Sastre
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Corresponding author

Correspondence to Michael M. Tung .

Editor information

Editors and Affiliations

  1. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary; Department of Differential Equations Mathematical Institute, Budapest University of Technology and Economics, Budapest, Hungary

    István Faragó

  2. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary

    Ferenc Izsák

  3. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary

    Péter L. Simon

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Defez, E., Tung, M.M., Ibáñez, J., Sastre, J. (2019). Approximating a Class of Linear Third-Order Ordinary Differential Problems. In: Faragó, I., Izsák, F., Simon, P. (eds) Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry(), vol 30. Springer, Cham. https://doi.org/10.1007/978-3-030-27550-1_41

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