## Abstract

This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers.

Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides detailed descriptions of the four major classes of discretization methods for PDEs (finite difference method, finite volume method, spectral method, and finite element method) and runnable MATLAB® code for each of the discretization methods and exercises. It also gives self-contained convergence proofs for each method using the tools and techniques required for the general convergence analysis but adapted to the simplest setting to keep the presentation clear and complete.

Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides detailed descriptions of the four major classes of discretization methods for PDEs (finite difference method, finite volume method, spectral method, and finite element method) and runnable MATLAB® code for each of the discretization methods and exercises. It also gives self-contained convergence proofs for each method using the tools and techniques required for the general convergence analysis but adapted to the simplest setting to keep the presentation clear and complete.

Original language | English |
---|---|

Publisher | Society for Industrial and Applied Mathematics (SIAM) |

Number of pages | 151 |

ISBN (Electronic) | 9781611975314 |

ISBN (Print) | 9781611975307 |

DOIs | |

Publication status | Published - 2018 |

### Publication series

Name | Fundamentals of Algorithms |
---|

## User-Defined Keywords

- Numerical PDEs
- Finite Difference Method
- Finite Volume Method
- Spectral Method
- Finite Element Method