Comparison of Approximate Symmetry Methods for Differential Equations

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Date

2004

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Abstract

Two current approximate symmetry methods and a modified new one are contrasted. Approximate symmetries of potential Burgers equation and non-Newtonian creeping flow equations are calculated using different methods. Approximate solutions corresponding to the approximate symmetries are derived for each method. Symmetries and solutions are compared and advantages and disadvantages of each method are discussed in detail.

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Keywords

Algorithms , Approximation theory , Mathematical transformations , Nonlinear equations , Perturbation techniques , Problem solving , Set theory , Approximate symmetries , Lie group theory , Equations of motion

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20018

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