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Finite Difference Methods
| Content Provider | Scilit |
|---|---|
| Author | Kythe, Prem K. Schäferkotter, Michael R. Puri, Pratap |
| Copyright Year | 2018 |
| Description | Among different numerical techniques for solving boundary and initial value problems, the finite difference methods are widely used. These methods are derived from the truncated Taylor's series, also known as Taylor's formula, where a given partial differential equation and the boundary and initial conditions are replaced by a set of algebraic equations that are then solved by various well-known numerical techniques. These methods have a significant advantage over other methods because of its simplicity of analysis and computer codes in solving problems with complex geometries. We will discuss difference schemes for first-and second-order partial derivatives, and then apply them to numerically solve boundary and initial value problems for second-order partial differential equations. Book Name: Partial Differential Equations and Mathematica |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2006-0-15865-7&isbn=9781315273105&doi=10.1201/9781315273105-17&format=pdf |
| Ending Page | 404 |
| Page Count | 25 |
| Starting Page | 380 |
| DOI | 10.1201/9781315273105-17 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2018-10-03 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Partial Differential Equations and Mathematica Mathematical Physics Initial Value Problems Differential Boundary and Initial |
| Content Type | Text |
| Resource Type | Chapter |
