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|Title:||Backward difference replacements of the space derivative in first order hyperbolic equations|
|Citation:||Maths Technical Papers (Brunel University). January 1983, pp 1-27|
|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|
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