Numerical Verification of the Order of the Asymptotic Solutions of a Nonlinear Differential Equation
نویسنده
چکیده
A perturbation method, the Lindstedt-Poincare method, is used to obtain the asymptotic expansions of the solutions of a nonlinear differential equation arising in general relativity. The asymptotic solutions contain no secular term, which overcomes a defect in Khuri’s paper. A technique of numerical order verification is applied to demonstrate that the asymptotic solutions are uniformly valid for small parameter. Keywordsperturbation method, asymptotic solution, numerical verification, Lindstedt-Poincare method
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