Abstract
Abstract: This paper is devoted to the numerical treatment of linear second-order ordinary differential equations, with multi-point nonlocal boundary conditions. The finite difference method of the (BVP)s is used as global technique within the overall available domain. A consistent system of algebraic equations corresponding to a standard BVP is generated within the overall domain, [0,1]. The solution technique is proposed of boundary conditions at a non-grid point based on the Lagrange interpolation method. Application of the technique is illustrated through a classical model second-order BVP’s. Simple numerical experiments confirming the applicability of the treatment are introduced. Numerical results obtained by present method show that the present method is simple and accurate for second-order multi-point nonlocal BVP's,
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