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The Computer Journal 1975 18(3):252-257; doi:10.1093/comjnl/18.3.252
© 1975 by British Computer Society
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The numerical solution of second order hyperbolic partial differential equations with unequally spaced initial conditions

E. H. Twizell *

Department of Mathematics and Computer Studies, The Polytechnic, Sunderland, UK

An algorithm is derived which adapts the algorithm of Gill and Miller (1972) for the numerical integration of unequally spaced data, to hyperbolic partial differential equations of the second order having unequally spaced, discrete initial conditions. The algorithm requires starting values which are computed by the method of the National Physical Laboratory. Some applications in engineering and physics are briefly mentioned.

Received June 1973.

* Department of Mathematics and Computer Studies, The Polytechnic, Sunderland, SR1 3SD


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