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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.
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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