Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
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2017, Computers and Mathematics with ApplicationsCitation Excerpt :The Stokes and Navier–Stokes equations involving the stream-function formulation were solved by spectral collocation-type methods in [3]. Based on the Jacobi–Galerkin methods, [7] has presented some efficient direct solvers for general fourth-order equations subject to various boundary conditions. In the mixed approach [8–16], the fourth-order equation is first replaced by a coupled system of two second-order differential equations, and this system is then discretized by the finite difference or finite element method.
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