Quadratic non-polynomial spline approach to the solution of a system of second-order boundary-value problems
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摘要
A quadratic non-polynomial spline functions based method is developed to find approximations solution to a system of second-order boundary-value problems associated with obstacle, unilateral, and contact problems. The present approach has less computational cost and gives better approximations than those produced by other collocation, finite-difference and spline methods. Convergence analysis of the method is discussed. A numerical example is given to illustrate practical usefulness of the new method.
论文关键词:Non-polynomial splines,Quadratic spline functions,Finite-difference methods,Obstacle problems,Boundary-value problems
论文评审过程:Available online 3 January 2006.
论文官网地址:https://doi.org/10.1016/j.amc.2005.11.091