ARTIFICIAL PARAMETER METHODUSED IN SINGULARPERTURBATION PROBLEMS

in order to solve a nonlinear equationwithout small parameters, it is convenient to intro-duce an artificial parameter in the equation, thenthe approximate solution can be expressed as seriesof the artificial parameter just as traditional pertur-bation techniques do.Combining it with Lindstedt-Poincare technique leads to a more convenient re-sults with good accuracy.