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This paper is devoted to the numerical treatment of a class of higher-order multi-point boundary value problem- s(BVPs). The method is proposed based on the Lagrange interpolation collocation method, but it avoids the numerical instability of Lagrange interpolation. Numerical results obtained by present method compare with other methods show that the present method is simple and accurate for higher-order multi-point BVPs, and it is eective for solving six order or higher order multi-point BVPs.

A Barycentric Interpolation Collocation Method for Linear Nonlocal Boundary Value Problems