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A Compendium of Partial Differential Equation Models with MATLAB 1st Edition by William E Schiesser, Graham W Griffiths ISBN 0511508530 9780521519861

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A Compendium of Partial Differential Equation Models with MATLAB 1st Edition William E. Schiesser Digital Instant Download

Author(s): William E. Schiesser, Graham W. Griffiths
ISBN(s): 9780521519861, 0511508530
Edition: 1
File Details: PDF, 3.62 MB
Year: 2009
Language: english
SKU: EB-1148550 Category: Tags: ,

A Compendium of Partial Differential Equation Models with MATLAB 1st Edition by William E. Schiesser, Graham W. Griffiths – Ebook PDF Instant Download/Delivery: 0511508530, 9780521519861

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Product details:

ISBN 10: 0511508530 

ISBN 13: 9780521519861

Author:  William E. Schiesser, Graham W. Griffiths

A Compendium of Partial Differential Equation Models presents numerical methods and associated computer codes in Matlab for the solution of a spectrum of models expressed as partial differential equations (PDEs), one of the mostly widely used forms of mathematics in science and engineering. The authors focus on the method of lines (MOL), a well-established numerical procedure for all major classes of PDEs in which the boundary value partial derivatives are approximated algebraically by finite differences. This reduces the PDEs to ordinary differential equations (ODEs) and thus makes the computer code easy to understand, implement, and modify. Also, the ODEs (via MOL) can be combined with any other ODEs that are part of the model (so that MOL naturally accommodates ODE/PDE models). This book uniquely includes a detailed line-by-line discussion of computer code as related to the associated equations of the PDE model.

Table of contents:

  1. An introduction to the Method of Lines (MOL)

  2. A one-dimensional, linear partial differential equation

  3. Green’s function analysis

  4. Two nonlinear, variable coefficient, inhomogeneous PDEs

  5. Euler, Navier-Stokes and Burgers equations

  6. The Cubic Schrödinger Equation (CSE)

  7. The Korteweg-deVries (KdV) equation

  8. The linear wave equation

  9. Maxwell’s equations

  10. Elliptic PDEs: Laplace’s equation

  11. Three-dimensional PDE

  12. PDE with a mixed partial derivative

  13. Simultaneous, nonlinear, 2D PDEs in cylindrical coordinates

  14. Diffusion equation in spherical coordinates

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Tags: William E Schiesser, Graham W Griffiths, Compendium, Partial Differential Equation Models, MATLAB