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Quartic non-polynomial splines are used to develop a new numerical method for computing approximations to the solution of a system of third-order boundary-value problems associated with obstacle, unilateral, and contact problems. It is shown that the new method gives approximations, which are better than those produced by other collocation,… (More)

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… (More)

In this article, using non-polynomial cubic spline we develop the classes of methods for the numerical solution of singularly perturbed two-point boundary-value problems. The purposed methods are second-order and fourth-order accurate and applicable to problems both in singular and non-singular cases.Numerical results are given to illustrate the efficiency… (More)

Non-polynomial spline in off step points is used to solve fifth-order linear boundary value problems. Associated boundary formulas are developed. We compare our results with the results produced by B-spline method [10] and Non-polynomial spline and quartic spline method [11, 12] and [14]. However, it is observed that our approach produce better numerical… (More)