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The pseudospectral method for third-order differential equations. (English) Zbl 0764.65058
Generalized Gaussian quadrature formulae are derived which identify interior collocation points for the pseudospectral solution of certain model differential equations. Numerical results are also given.

MSC:
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
35Q53 KdV equations (Korteweg-de Vries equations)
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