The Pseudospectral Method for Third-Order Differential Equations | Zendy

Weizhang Huang | Zendy; D. M. Sloan | Zendy

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The Pseudospectral Method for Third-Order Differential Equations

Author(s) -

Weizhang Huang,

D. M. Sloan

Publication year - 1992

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/0729094

Subject(s) - mathematics , orthogonal collocation , gauss pseudospectral method , pseudospectral optimal control , collocation method , pseudo spectral method , collocation (remote sensing) , boundary value problem , mathematical analysis , chebyshev pseudospectral method , differential equation , quadrature (astronomy) , ordinary differential equation , orthogonal polynomials , fourier transform , classical orthogonal polynomials , fourier analysis , remote sensing , engineering , geology , electrical engineering , chebyshev equation

Generalized quadrature rules are derived which assist in the selection of collocation pointsfor the pseudospectral solution of differential equations. In particular, it is shown that for an nth-orderdifferential equation in one space dimension with two-point derivative boundary conditions, an ideal choiceof interior collocation points is the set of zeros of a Jacobi polynomial. The pseudospectral solution of athird-order initial-boundary value problem is considered and accuracy is assessed...

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