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On the Approximated Solution of a Special Type of Nonlinear Third-Order Matrix Ordinary Differential Problem

Author

Listed:
  • Emilio Defez

    (Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain)

  • Javier Ibáñez

    (Instituto de Instrumentación para Imagen Molecular, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain)

  • José M. Alonso

    (Instituto de Instrumentación para Imagen Molecular, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain)

  • Michael M. Tung

    (Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain)

  • Teresa Real-Herráiz

    (Instituto de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, Spain)

Abstract

Matrix differential equations are at the heart of many science and engineering problems. In this paper, a procedure based on higher-order matrix splines is proposed to provide the approximated numerical solution of special nonlinear third-order matrix differential equations, having the form Y ( 3 ) ( x ) = f ( x , Y ( x ) ) . Some numerical test problems are also included, whose solutions are computed by our method.

Suggested Citation

  • Emilio Defez & Javier Ibáñez & José M. Alonso & Michael M. Tung & Teresa Real-Herráiz, 2021. "On the Approximated Solution of a Special Type of Nonlinear Third-Order Matrix Ordinary Differential Problem," Mathematics, MDPI, vol. 9(18), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2262-:d:635861
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    References listed on IDEAS

    as
    1. Lee Ken Yap & Fudziah Ismail & Norazak Senu, 2014. "An Accurate Block Hybrid Collocation Method for Third Order Ordinary Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, May.
    2. M. Mechee & N. Senu & F. Ismail & B. Nikouravan & Z. Siri, 2013. "A Three-Stage Fifth-Order Runge-Kutta Method for Directly Solving Special Third-Order Differential Equation with Application to Thin Film Flow Problem," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, June.
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