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http://bura.brunel.ac.uk/handle/2438/2212
Title: | Implicit methods for the simple wave equation |
Authors: | Twizell, E H Tirmizi, S I A |
Issue Date: | 1984 |
Publisher: | Brunel University |
Citation: | Maths Technical Papers (Brunel University). October 1984, pp 1-33 |
Abstract: | A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability. The concepts of A0 -stability and L0 -stability, well-used in the literature on other types of partial differential equation, are discussed in relation to second order hyperbolic equations. The numerical methods are extended to cover two-dimensional wave equations and the methods developed in the paper are tested on three problems from the literature. w9259484 |
URI: | http://bura.brunel.ac.uk/handle/2438/2212 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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TR_09_84.pdf | 323.29 kB | Adobe PDF | View/Open |
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