Further Analytical Approximation Methods and Some Applications

Martin Hermann () and Masoud Saravi
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Martin Hermann: Friedrich Schiller University, Department of Numerical Mathematics
Masoud Saravi: Shomal University, Department of Science

Chapter Chapter 3 in Nonlinear Ordinary Differential Equations, 2016, pp 61-120 from Springer

Abstract: 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.

Keywords: Homotopy Analysis Method (HAM); Energy Balance Method (EBM); Hamiltonian Approach (HA); Solution Expression; High-order Deformation Equations (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-81-322-2812-7_3

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