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Original Articles

A wavelet method for hyperbolic partial differential equations

, &
Pages 1291-1298 | Received 12 Aug 2009, Accepted 18 Apr 2010, Published online: 27 Oct 2010
 

Abstract

In this article, we discuss an initial value problem of hyperbolic partial differential equations by the quadratic B-spline wavelet. The discrete scheme of the problem is obtained using the wavelet representations of the differential operators. Because the wavelet has the time-frequency local property, our method is especially adapts to the hyperbolic partial differential equations with singular solution.

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