Handbook Of Nonlinear Partial Differential Equations Second Edition

Author: Andrei D. Polyanin
Publisher: CRC Press
ISBN: 142008724X
Size: 38.27 MB
Format: PDF, ePub, Docs
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Exact (closed-form) solutions of differential equations play an important role in
the proper understanding of qualitative features of many phenomena and
processes in various areas of natural science. Exact solutions of nonlinear
equations graphically ... solving nonlinear mathematical physics equations.
When selecting the material, the authors have given a pronounced preference to
practical aspects of the matter; that is, to methods that allow effectively “
constructingexact solutions.

Partial Differential Equations Of Applied Mathematics

Author: Erich Zauderer
Publisher: John Wiley & Sons
ISBN: 1118031407
Size: 24.39 MB
Format: PDF, ePub, Mobi
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This new edition features the latest tools for modeling, characterizing, and solving partial differential equations The Third Edition of this classic text offers a comprehensive guide to modeling, characterizing, and solving partial ...

Nonlinear Reaction Diffusion Convection

Author: Roman Cherniha
Publisher: CRC Press
ISBN: 1351650874
Size: 68.88 MB
Format: PDF, Docs
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This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and ...

Handbook Of Linear Partial Differential Equations For Engineers And Scientists

Author: Andrei D. Polyanin
Publisher: CRC Press
ISBN: 1420035320
Size: 24.35 MB
Format: PDF
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Supplement B describes the methods of generalized and functional separation of
variables for nonlinear partial differential equations. We give specific examples
and an overview application of these methods to construct exact solutions for
various classes of second-, third-, fourth-, and higher-order equations (in total,
about 150 nonlinear equations with solutions are described). Special attention is
paid to equations of heat and mass transfer theory, wave theory, and
hydrodynamics as ...

Selected Topics In The Geometrical Study Of Differential Equations

Author: Niky Kamran
Publisher: American Mathematical Soc.
ISBN: 9780821889404
Size: 57.39 MB
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This method of symmetry reduction has thus become a very powerful tool for
constructing exact solutions of partial differential equations. It is fair to say that
this represents one of the most successful applications of the geometric study of
differential equations. Generalized symmetries, on the other hand, are formal
symmetry vector fields ix.

Numerical Solution Of Partial Differential Equations By The Finite Element Method

Author: Claes Johnson
Publisher: Courier Corporation
ISBN: 0486131599
Size: 44.96 MB
Format: PDF
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The hope is now that the solution uh of this problem is a sufficiently good
approximation of the solution u of the original minimization problem (M), ie, the
original partial differential equation. Usually one chooses V}, ... to so-called
Galerkin methods. To solve a given differential or integral equation approximately
using the finite element method, one has to go through basically the following
steps: (i) variational formulation of the given problem, (ii) discretization using FEM
: construction of ...