Separation of Variables and Exact Solutions to Nonlinear PDEs is popular PDF and ePub book, written by Andrei D. Polyanin in 2021-09-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Separation of Variables and Exact Solutions to Nonlinear PDEs can be Read Online from any device for your convenience.
Separation of Variables and Exact Solutions to Nonlinear PDEs Book PDF Summary
Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear partial differential equations (PDEs). It also presents the direct method of symmetry reductions and its more general version. In addition, the authors describe the differential constraint method, which generalizes many other exact methods. The presentation involves numerous examples of utilizing the methods to find exact solutions to specific nonlinear equations of mathematical physics. The equations of heat and mass transfer, wave theory, hydrodynamics, nonlinear optics, combustion theory, chemical technology, biology, and other disciplines are studied. Particular attention is paid to nonlinear equations of a reasonably general form that depend on one or several arbitrary functions. Such equations are the most difficult to analyze. Their exact solutions are of significant practical interest, as they are suitable to assess the accuracy of various approximate analytical and numerical methods. The book contains new material previously unpublished in monographs. It is intended for a broad audience of scientists, engineers, instructors, and students specializing in applied and computational mathematics, theoretical physics, mechanics, control theory, chemical engineering science, and other disciplines. Individual sections of the book and examples are suitable for lecture courses on partial differential equations, equations of mathematical physics, and methods of mathematical physics, for delivering special courses and for practical training.
Detail Book of Separation of Variables and Exact Solutions to Nonlinear PDEs PDF
- Author : Andrei D. Polyanin
- Release : 19 September 2021
- Publisher : CRC Press
- ISBN : 9781000463637
- Genre : Mathematics
- Total Page : 402 pages
- Language : English
- PDF File Size : 11,9 Mb
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