A method for approximate solution of first-order differential equations
β Scribed by A. Gueran
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 146 KB
- Volume
- 300
- Category
- Article
- ISSN
- 0016-0032
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## Abstract In this paper numerical methods for solving firstβorder hyperbolic partial differential equations are developed. These methods are developed by approximating the firstβorder spatial derivative by thirdβorder finiteβdifference approximations and a matrix exponential function by a thirdβo
A splitting of a third-order partial differential equation into a first-order and a second-order one is proposed as the basis for a mixed finite element method to approximate its solution. A time-continuous numerical method is described and error estimates for its solution are demonstrated. Finally,