A Barycentric Interpolation Collocation Method for Linear Nonlocal Boundary Value Problems

Dan Tian, Weiya Li and Cec Yulan Wang

Modern Applied Science, 2016, vol. 10, issue 11, 140

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 thenumerical instability of Lagrange interpolation. Numerical results obtained by present method compare with othermethods show that the present method is simple and accurate for higher-order multi-point BVPs, and it is eectivefor solving six order or higher order multi-point BVPs.

Date: 2016
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