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Spline collocation approach to boundary value problems
Author(s) -
Doctor H. D.,
Bulsari A. B.,
Kalthia N. L.
Publication year - 1984
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650040605
Subject(s) - collocation (remote sensing) , collocation method , orthogonal collocation , boundary value problem , mathematics , spline (mechanical) , singular boundary method , range (aeronautics) , simple (philosophy) , boundary (topology) , mathematical analysis , mathematical optimization , computer science , boundary element method , finite element method , differential equation , engineering , ordinary differential equation , machine learning , philosophy , structural engineering , epistemology , aerospace engineering
A well‐known Stokes problem is discussed by a cubic spline collocation method. Two consecutive cubic splines are obtained for the problem. The results by this method are compared with those of an orthogonal collocation method. The selection of the length of the subintervals of the range of the boundary value problem is also justified. The results obtained by these two methods are compared with the analytic solution. The methods involve simple algebra, and hence the calculations do not require the help of a computer. Necessary error analysis has been carried out.