Quadratic non-polynomial spline approach to the solution of a system of second-order boundary-value problems

@article{SirajulIslam2006QuadraticNS,
  title={Quadratic non-polynomial spline approach to the solution of a system of second-order boundary-value problems},
  author={Siraj-ul-Islam and Muhammad Aslam Noor and Syed Ikram A. Tirmizi and Muhammad Azam Khan},
  journal={Applied Mathematics and Computation},
  year={2006},
  volume={179},
  pages={153-160}
}
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… CONTINUE READING
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