Abstract

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.

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