Many differential equations with nonlinearities or variable coefficients do not permit the construction of exact solutions. This book introduces several perturbation methods that can be used to develop approximate solutions of such equations. The author focuses almost exclusively on procedures, underlying ideas and applications. Methods treated are applied to ordinary and partial differential equations arising in solid mechanics, fluid dynamics, and plasma physics. Serves as a textbook for graduates/advanced undergraduates ...
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Many differential equations with nonlinearities or variable coefficients do not permit the construction of exact solutions. This book introduces several perturbation methods that can be used to develop approximate solutions of such equations. The author focuses almost exclusively on procedures, underlying ideas and applications. Methods treated are applied to ordinary and partial differential equations arising in solid mechanics, fluid dynamics, and plasma physics. Serves as a textbook for graduates/advanced undergraduates in applied mathematics, physics, and engineering, or as a reference for researchers in those fields.
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