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A numerical algorithm for solving a class of linear nonlocal boundary value problems. (English) Zbl 1201.65130

This paper is aimed at constructing a multipoint reproducing kernel space and giving a simple numerical algorithm to solve the nonlocal boundary value problem: \[ u^{(n)}(x)+ \sum^{n-1}_{i=0} a_i(x) u^{(i)}(x)= f(x),\;u^{(i-1)}(x_j)= b_{ij},\;u(x_{k+1})- u(x_{k+2})= b_n. \] One numerical example is presented.

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
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References:

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