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Piecewise Optimal Auxiliary Functions Method
2021In this Chapter, the Piecewise Optimal Auxiliary Functions Method (POAFM) is introduced in order to obtain a globally smooth approximate solution to a nonlinear dynamical system.
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The Optimal Auxiliary Functions Method
2021To apply the Optimal Auxiliary Functions Method (OAFM), we consider the following general nonlinear differential equation.
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The First Alternative of the Optimal Auxiliary Functions Method
2021In this chapter, we will actually solve the Eq. (2.13) from which the first approximation \(u_{1} (x,C_{i} )\) can be determined.
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