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Further Analytical Approximation Methods and Some Applications

In: Nonlinear Ordinary Differential Equations

Author

Listed:
  • Martin Hermann

    (Friedrich Schiller University, Department of Numerical Mathematics)

  • Masoud Saravi

    (Shomal University, Department of Science)

Abstract

In this chapter four additional analytical approximation methods are presented, namely the perturbation method, the energy balance method, the Hamiltonian approach, and the homotopy analysis method. After a short description of their theoretical background, we show exemplary how these methods can be used to solve problems from the applied physics and engineering.

Suggested Citation

  • Martin Hermann & Masoud Saravi, 2016. "Further Analytical Approximation Methods and Some Applications," Springer Books, in: Nonlinear Ordinary Differential Equations, chapter 0, pages 61-120, Springer.
    • Handle: RePEc:spr:sprchp:978-81-322-2812-7_3
    DOI: 10.1007/978-81-322-2812-7_3
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