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A numerical method for solving multipoint boundary-value problems for systems of ordinary differential equations

✍ Scribed by V.A. Vinokurov; V.L. Shaposhnikov


Publisher
Elsevier Science
Year
1989
Weight
96 KB
Volume
29
Category
Article
ISSN
0041-5553

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Solutions, \(u(x)\), of the first order system, \(u^{\prime}=f(x, u)\), satisfying the multipoint boundary conditions, \(\sum_{i=1}^{k} M_{i} u\left(x_{j}\right)=r\), are differentiated with respect to the components of \(r\) and with respect to the boundary points, \(x_{j}\), where \(M_{1}, \ldots,

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## Abstract A numerical method for solving two‐point boundary value problems associated with systems of first‐order nonlinear ordinary differential equations is described. It needs three function evaluations for each sub‐interval and is of order O(__h__^7^), where __h__ is the space chop. Results o