Contents V.1, N.2, 2010

  • NON-POLYNOMIAL SPLINE APPROXIMATIONS FOR THE SOLUTIONOF SINGULARLY-PERTURBED BOUNDARY VALUE PROBLEMS
    J. RASHIDINIA, R. MOHAMMADI (pp. 236-251)
  • Abstract

    We consider the self-adjoint singularly perturbed two-point boundary value prob-lems. We know that the numerical methods for solution of such problems based on non-polynomial spline in grid points, can produce the fourth order method only. So that we lookfor an alternative to obtain higher order methods. We develop the non-polynomial spline inoff-step points to rise the order of accuracy. Based on such spline, the purposed new methodsare fourth, sixth and eighth-order accurate.

    Keywords

    Self-adjoint singularly-perturbed boundary value problem, Non-polynomial spline,Convergence analysis, Numerical conclusion.

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