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|Title: ||Backward difference replacements of the space derivative in first order hyperbolic equations|
|Authors: ||Twizell, EH|
|Publication 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.|
|Appears in Collections:||Mathematical Science|
Dept of Mathematics Research Papers
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