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https://doi.org/10.1007/978-81-322-2812-7Adomian Decomposition Method; Energy Balance Method; Homotopy Analysis Method; Perturbation Method; Vari
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A Brief Review of Elementary Analytical Methods for Solving Nonlinear ODEs,Nonlinear ordinary differential equations (ODEs) are encountered in various fields of mathematics, physics, mechanics, chemistry, biology, economics, and numerous applications.
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Analytical Approximation Methods,As we mentioned in the previous chapter, most of the nonlinear ODEs have no ., 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.
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