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- W2004619056 abstract "In this paper, a spline collocation method is applied to solve a system of fourth-order boundary-value problems associated with obstacle, unilateral and contact problems. The presented method is dependent on four collocation points to be satisfied by four parameters θ j ∈(0, 1], j=1(1) 4 in each subinterval. It turns out that the proposed method when applied to the concerned system is a fourth-order convergent method and gives numerical results which are better than those produced by other spline methods [E.A. Al-Said and M.A. Noor, Finite difference method for solving fourth-order obstacle problems, Int. J. Comput. Math. 81(6) (2004), pp. 741–748; F. Geng and Y. Lin, Numerical solution of a system of fourth order boundary value problems using variational iteration method, Appl. Math. Comput. 200 (2008), pp. 231–241; J. Rashidinia, R. Mohammadi, R. Jalilian, and M. Ghasemi, Convergence of cubic-spline approach to the solution of a system of boundary-value problems, Appl. Math. Comput. 192 (2007), pp. 319–..." @default.
- W2004619056 created "2016-06-24" @default.
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- W2004619056 date "2011-11-01" @default.
- W2004619056 modified "2023-09-23" @default.
- W2004619056 title "Spline collocation method with four parameters for solving a system of fourth-order boundary-value problems" @default.
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- W2004619056 doi "https://doi.org/10.1080/00207160.2011.599379" @default.
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