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A new spectral transform for the Davey-Stewartson I equation

✍ Scribed by M. Boiti; J.J.-P. Leon; F. Pempinelli

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
399 KB
Volume
141
Category
Article
ISSN
0375-9601

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We present a new iterative Chebyshev spectral method for solving the elliptic equation \(\nabla \cdot(\sigma \nabla u)=f\). We rewrite the equation in the form of a Poisson's equation \(\nabla^{2} u=(f-\nabla u \cdot \nabla \sigma) / \sigma\). In each iteration we compute the right-hand side terms f