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Auteur : K. Sankara Rao
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This comprehensive and well-organized book, now in its Third Edition, continues to provide the students with the fundamental concepts, the underlying principles, various well-known mathematical techniques and methods such as Laplace and Fourier transform techniques, the variable separable method, and Green’s function method to solve partial differential equations. The text is supported by a number of worked-out examples and miscellaneous examples to enable the students to assimilate the fundamental concepts and the techniques for solving partial differential equations with various initial and boundary conditions. Besides, chapter-end exercises are also provided with hints to reinforce the students’ skill. It is designed primarily to serve as a textbook for senior undergraduate and postgraduate students pursuing courses in applied mathematics, physics and engineering. What is new to this edition ? Adds new sections on linear partial differential equations with constant coefficients and non-linear model equations. Offers additional worked-out examples and exercises to illustrate the concepts discussed.

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Partial Differential Equations: An Introduction, 2nd Edition ~ DIFFERENTIAL EQUATIONS AN INTRODUCTION. PARTIAL DIFFERENTIAL EQUATIONS AN INTRODUCTION WALTER A. STRAUSS Brown University . Publisher Laurie Rosatone Associate Editor Shannon Corliss Senior Editorial Assistant Jeffrey Benson Marketing Manager Jaclyn Elkins Production Manager Dorothy Sinclair Senior Production Editor Sandra Dumas Creative Director Harry Nolan Senior Designer Madelyn Lesure .

AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ~ 1.4 Differential equations as mathematical models 4 1.5 Associated conditions 17 1.6 Simple examples 20 1.7 Exercises 21 2 First-order equations 23 2.1 Introduction 23 2.2 Quasilinear equations 24 2.3 The method of characteristics 25 2.4 Examples of the characteristics method 30 2.5 The existence and uniqueness theorem 36 2.6 The Lagrange method 39 2.7 Conservation laws and shock waves 41 2.8 .

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INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS ~ INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS FS 2017 Prof. Francesca Da Lio Department of Mathematics ETH Zurich

Partial Differential Equations ~ Introduction Ordinary and partial differential equations occur in many applications. An ordinary differential equation is a special case of a partial differential equa- tion but the behaviour of solutions is quite different in general. It is much more complicated in the case of partial differential equations caused by the fact that the functions for which we are looking at are functions .

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