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.
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© 2011 Springer-Verlag/Wien
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Shingareva, I., Lizárraga-Celaya, C. (2011). Approximate Analytical Approach. In: Solving Nonlinear Partial Differential Equations with Maple and Mathematica. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0517-7_5
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DOI: https://doi.org/10.1007/978-3-7091-0517-7_5
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Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-0516-0
Online ISBN: 978-3-7091-0517-7
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