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Title: | Backward difference replacements of the space derivative in first order hyperbolic equations |
Authors: | Twizell, EH Khaliq, AQM |
Issue Date: | 1983 |
Publisher: | Brunel University |
Citation: | Maths Technical Papers (Brunel University). January 1983, pp 1-27 |
Series/Report no.: | TR/01/83 |
Abstract: | Two families of two-time level difference schemes are developed for the numerical solution of first order hyperbolic partial differential equations with one space variable. The space derivative is replaced by (i) a first order, (ii) a second order backward difference approximant and the resulting system of first order ordinary differential equations is solved using A0-stable and L0-stable methods. The methods are tested on a number of problems from the literature involving wave-form solutions, increasing solutions with discontinuities in function values or first derivatives across a characteristic, and exponentially decaying solutions. |
URI: | http://bura.brunel.ac.uk/handle/2438/2599 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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File | Description | Size | Format | |
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TR_01_83.pdf | 261.32 kB | Adobe PDF | View/Open |
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