Approximate Analytical Approach

Inna Shingareva () and Carlos Lizárraga-Celaya ()
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Inna Shingareva: University of Sonora, Department of Mathematics
Carlos Lizárraga-Celaya: University of Sonora, Department of Physics

Chapter Chapter 5 in Solving Nonlinear Partial Differential Equations with Maple and Mathematica, 2011, pp 227-262 from Springer

Abstract: Abstract In this chapter, we will follow the approximate analytical approach for solving nonlinear PDEs. We consider the most important recently developed methods and traditional methods to find approximate analytical solutions of nonlinear PDEs and nonlinear systems. We will apply the Adomian decomposition method (ADM) and perturbation methods to solve nonlinear PDEs (e.g., the Burgers equation, the Klein–Gordon equation, the Fisher equation, etc.) and nonlinear systems.

Keywords: Cauchy Problem; Asymptotic Expansion; Standing Wave; Asymptotic Solution; Burger Equation (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0517-7_5

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DOI: 10.1007/978-3-7091-0517-7_5

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