An enhancement of transformation method

  • Authors:
  • J. Kulhánek

  • Affiliations:
  • CVUT Praha, Zikova 4, 166-35 Prague, Czech Republic

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2003

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Abstract

To solve Cauchy problem, for an ordinary second-order linear homogeneous differential equation, we use, so-called, transformation method. This numerical technique does not rely on expansion in Poincaré series, however, it requires integration of a nonlinear second-order ordinary differential equation. This formidable task substantially diminishes when instead of the nonlinear second-order equation we integrate a linear third-order equation.