Solution of boundary-value problems by orthogonal collocation

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作者：
Univ of Wisconsin, Madison, United States [1 ]
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来源：
Chemical Engineering Science | 1995年 / 50卷 / 24 pt A期
关键词：
Calculations - Chemical reactions - Diffusion - Eigenvalues and eigenfunctions - Geometry - Heat transfer - Partial differential equations - Polynomials - Problem solving - Viscous flow;
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摘要：
New collocation methods are given for solving symmetrical boundary-value problems. Orthogonality conditions are used to select the collocation points. The accuracy obtained is comparable to that of least squares or variational methods and the calculations are simpler. Applications are given to one-dimensional eigenvalue problems and to parabolic and elliptic partial differential equations, encountered in problems of viscous flow, heat transfer and diffusion with chemical reaction.
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页码：3981 / 3996
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