Analytical Approximation Methods

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 2 in Nonlinear Ordinary Differential Equations, 2016, pp 33-59 from Springer

Abstract: Abstract As we mentioned in the previous chapter, most of the nonlinear ODEs have no explicit solutions, i.e., solutions, which are expressible in finite terms. Even if an explicit solution can be determined, it is often too complicated to analyze the principal features of this solution.

Keywords: Adomian Polynomials; Adomian Decomposition Method (ADM); Variational Iteration Method (VIM); Noise Terms Phenomenon; Homotopy Perturbation Method (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-81-322-2812-7_2

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