Ibn Al-Haitham Journal for Pure and Applied Sciences (Apr 2017)

On Solution of Nonlinear Singular Boundary Value Problem

  • Luma N. M. Tawfiq,
  • Hiba W. Rasheed

Journal volume & issue
Vol. 26, no. 3

Abstract

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This paper is devoted to the analysis of nonlinear singular boundary value problems for ordinary differential equations with a singularity of the different kind. We propose semi - analytic technique using two point osculatory interpolation to construct polynomial solution, and discussion behavior of the solution in the neighborhood of the singular points and its numerical approximation. Two examples are presented to demonstrate the applicability and efficiency of the methods. Finally, we discuss behavior of the solution in the neighborhood of the singularity point which appears to perform satisfactorily for singular problems.

Keywords