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Similarity Methods for Nonlinear Problems

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Abstract

In any mechanical studying either motion or heat transfer phenomena, many number of concepts are considered by introducing form of energy or defining velocity, stress, type of heat transfer, etc. in case of concerning motion and equilibrium, for example, can be formulated as problems for determining certain functions and numerical values for parameters that is characterizing such phenomena. Dealing with such problems and trying to solve them, we need to present certain rules and laws of mathematics and physics to relate certain nature of such event in a form of functional equations, which we know them as differential equations.

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Zohuri, B. (2017). Similarity Methods for Nonlinear Problems. In: Dimensional Analysis Beyond the Pi Theorem. Springer, Cham. https://doi.org/10.1007/978-3-319-45726-0_4

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  • DOI: https://doi.org/10.1007/978-3-319-45726-0_4

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