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A transform method for linear evolution PDEs on a finite interval

IMA Journal of Applied Mathematics, no. 4 (2005): 564-587

Cited by: 74|Views13
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Abstract

We study initial boundary value problems for linear scalar evolution partial differential equations, with spatial derivatives of arbitrary order, posed on the domain {t > 0, 0 < x < L}. We show that the solution can be expressed as an integral in the complex k-plane. This integral is defined in terms of an x-transform of the initial condi...More

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A. S. Fokas
A. S. Fokas
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