Numerical Approximation of Singular Boundary Value Problems for a Nonlinear Differential Equation

نویسندگان

  • PEDRO LIMA
  • LUISA MORGADO
  • L. Morgado
چکیده

In this work we are concerned about singular boundary value problems for certain nonlinear second order ordinary differential equations on finite and infinite domains. An asymptotic expansion is obtained for the family of solutions satisfying the boundary condition at the origin. In the case of infinite domains, the asymptotic behavior of the solutions is also analysed for large values of the independent variable. Based on the asymptotic expansions, computational methods are introduced to approximate the solution of the problem.

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تاریخ انتشار 2007