A Compendium of Partial Differential Equation Models Method of Lines Analysis with Matlab~tqw~_darks torrent download



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Title................: A Compendium of Partial Differential Equation Models 


                       Method of Lines Analysis with Matlab 


Type.................: Ebook


Reader...............: PDF Reader


Size.................: 7.02 MB


Torrent Hash.........: A205DDF8A4D4FA043D3F7F1CA9689D79DD53CC35


Posted by............: ~tqw~





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CONTENTS


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Synopsis:


In the analysis and the quest for an understanding of a physical system, 


generally, the formulation and use of a mathematical model that is thought 


to describe the system is an essential step. That is, a mathematical model 


is formulated (as a system of equations) that is thought to quantitatively 


define the interrelationships between phenomena that define the 


characteristics of the physical system. The mathematical model is usually 


tested against observations of the physical system, and if the agreement is 


considered acceptable, the model is then taken as a representation of the 


physical system, at least until improvements in the observations lead to 


refinementsand extensions of the model. Often the model serves as a guide to 


new observations. Ideally, this process of refinement of the observations 


and model leads to improvements of the model and thus enhanced understanding 


of the physical system.





Table Of Contents:


Preface page ix


1 An Introduction to the Method of Lines 1


2 A One-Dimensional, Linear Partial Differential Equation 18


3 Green’s Function Analysis 36


4 Two Nonlinear, Variable-Coeffcient, Inhomogeneous Partial Differential 


  Equations 70


5 Euler, Navier Stokes, and Burgers Equations 90


6 The Cubic Schr¨odinger Equation 114


7 The Korteweg–deVries Equation 141


8 The Linear Wave Equation 171


9 Maxwell’s Equations 203


10 Elliptic Partial Differential Equations: Laplace’s Equation 229


11 Three-Dimensional Partial Differential Equation 261


12 Partial Differential Equation with a Mixed Partial Derivative 291


13 Simultaneous, Nonlinear, Two-Dimensional Partial Differential Equations in 


   Cylindrical Coordinates 306


14 Diffusion Equation in Spherical Coordinates 342


Appendix 1 Partial Differential Equations from Conservation Principles: The 


           Anisotropic Diffusion Equation 381


Appendix 2 Order Conditions for Finite-Difference Approximations 398


Appendix 3 Analytical Solution of Nonlinear, Traveling Wave Partial 


           Differential Equations 414


Appendix 4 Implementation of Time-Varying Boundary Conditions 420


Appendix 5 The Differentiation in Space Subroutines Library 441


Appendix 6 Animating Simulation Results 445


Index 469





Product Details:


    * ISBN: 0521519861


    * ISBN-13: 9780521519861


    * Format: Hardcover, 490pp


    * Publisher: Cambridge University Press


    * Pub. Date: March 2009





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