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Analytic Methods for Solving Higher Order Ordinary Differential Equations

Author

Listed:
  • Maria P. Beccar-Varela

    (Department of Mathematical Sciences, University of Texas, El Paso, TX 79968-0514, USA)

  • Md Al Masum Bhuiyan

    (Computational Science Program, University of Texas, El Paso, TX 79968-0514, USA)

  • Maria C. Mariani

    (Department of Mathematical Sciences and Computational Science Program, University of Texas, El Paso, TX 79968-0514, USA)

  • Osei K. Tweneboah

    (Computational Science Program, University of Texas, El Paso, TX 79968-0514, USA)

Abstract

In this work, an analytic approach for solving higher order ordinary differential equations (ODEs) is developed. The techniques offer analytic flexibility in many research areas such as physics, engineering, and applied sciences and are effective for solving complex ODEs.

Suggested Citation

  • Maria P. Beccar-Varela & Md Al Masum Bhuiyan & Maria C. Mariani & Osei K. Tweneboah, 2019. "Analytic Methods for Solving Higher Order Ordinary Differential Equations," Mathematics, MDPI, vol. 7(9), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:826-:d:264797
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    References listed on IDEAS

    as
    1. Mehdi Delkhosh & Mohammad Delkhosh, 2012. "Analytic Solutions of Some Self-Adjoint Equations by Using Variable Change Method and Its Applications," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-7, May.
    2. Habtemicael, Semere & SenGupta, Indranil, 2014. "Ornstein–Uhlenbeck processes for geophysical data analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 147-156.
    3. Mariani, Maria C. & Tweneboah, Osei K., 2016. "Stochastic differential equations applied to the study of geophysical and financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 170-178.
    Full references (including those not matched with items on IDEAS)

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