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Galerkin methods for two-point boundary value problems for first order systems. (English) Zbl 0532.65056

The boundary value problem \[ Ay'(t)+By(t)=f(t),\quad 0\leq t\leq 1 \] Cy(0)\(+Dy(1)=0\), is considered where A and B are \(n\times n\) matrices, possibly functions of t, y(t) and f(t) are vector functions, and C and D are matrices chosen so that the problem is well posed. The author suggests a nonstandard Galerkin method of least squares type which in the nonregular case gives slightly more accurate result then standard Galerkin methods.
Reviewer: G.Tabidze

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
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