Application of least square method to numerical solution of second-order boundary value problems
AuthorLoghmani, G. B.
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CitationLoghmani, G. B. (2009). Application of least square method to numerical solution of second-order boundary value problems. Maltepe Üniversitesi. s. 169.
The numerical solution of second order linear and nonlinear boundary value problems with a general Sturm-Liouville boundary conditions is considered. A second degree B-spline functions is used to construct the numerical method. E.H.Twizell, H.N.Caglar and S.H.Caglar used a collocation method and B-spline functions of one degree higher of order of boundary value problems. But we use B-spline functions of same degree of the order of boundary value problems we will show that for every ε > 0, there exist an approximate solution vε such that the least square error is less than ε > 0 and vε satisfies the exact boundary conditions.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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