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Mathematics of Computation

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A note on the operator compact implicit method for the wave equation

Authors: Melvyn Ciment and Stephen H. Leventhal
Journal: Math. Comp. 32 (1978), 143-147
MSC: Primary 65M05
MathSciNet review: 0483507
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Abstract: In a previous paper a fourth order compact implicit scheme was presented for the second order wave equation. A very efficient factorization technique was developed when only second order terms were present. In this note we implement the operator compact implicit spatial discretization method for the second order wave equation when first order terms are present. The resulting algorithm is completely analogous to the compact implicit algorithm when lower order terms were not present. For this more general operator compact implicit spatial approximation the same factorization as in our previous paper is developed.

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Keywords: Wave equation, higher order difference method
Article copyright: © Copyright 1978 American Mathematical Society