Solution of boundary-value problems by orthogonal collocation
作者： J.V. Villadsen , W.E. Stewart
DOI: 10.1016/0009-2509(96)81831-8
关键词:
摘要: Abstract New collocation methods are given for solving symmetrical boundary-value problems. Orthogonality conditions used to select the points. The accuracy obtained is comparable that of least squares or variational and calculations simpler. Applications one-dimensional eigenvalue problems parabolic elliptic partial differential equations, encountered in viscous flow, heat transfer diffusion with chemical reaction.
elsevier.com
sci-hub.se 参考文章(23)
Neal Russell Amundson, Mathematical methods in chemical engineering : matrices and their application Prentice-Hall. ,(1966)
M. L. Michelsen, John Villadsen, Solution of differential equation models by polynomial approximation Prentice-Hall. ,(1978)
W. F. Ames, Nonlinear Partial Differential Equations in Engineering Physics Today. ,vol. 20, pp. 131- 131 ,(1967) , 10.1063/1.3034120
Francis Begnaud Hildebrand, Advanced Calculus for Applications ,(1962)
Richard Courant, David Hilbert, Methods of Mathematical Physics ,(1947)
R. HILL, G. POWER, EXTREMUM PRINCIPLES FOR SLOW VISCOUS FLOW AND THE APPROXIMATE CALCULATION OF DRAG Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 9, pp. 313- 319 ,(1956) , 10.1093/QJMAM/9.3.313
H. J. Norton, The iterative solution of non-linear ordinary differential equations in Chebyshev series The Computer Journal. ,vol. 7, pp. 76- 85 ,(1964) , 10.1093/COMJNL/7.1.76
Martin Becker, The principles and applications of variational methods ,(1964)
B.A. Finlayson, L.E. Scriven, On the search for variational principles International Journal of Heat and Mass Transfer. ,vol. 10, pp. 799- 821 ,(1967) , 10.1016/0017-9310(67)90139-1
M. W. Johnson, Some Variational Theorems for Non‐Newtonian Flow Physics of Fluids. ,vol. 3, pp. 871- 878 ,(1960) , 10.1063/1.1706150