Convergence of a Finite-Difference Scheme for Second-Order Hyperbolic Equations with Variable Coefficients |
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Authors: | JOVANOVIC BOSKO S; IVANOVIC LAV D; SULI ENDRE E |
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Institution: |
Institute of Mathematics, University of Belgrade
Oxford University Computing Laboratory
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Abstract: | We study the convergence of a finite-difference scheme for thefirst initial-boundary-value problem for linear second-orderhyperbolic equations with variable coefficients. Using the bilinearversion of the Bramble-Hilbert lemma we prove that the convergencerate in the discrete energy norm is of the order h2 ifthe exact solution belongs to the Sobolev space W2(Q) with 2<<4. |
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