Finding high-order solutions of Chien's perturbation method to study convergence by computer
We obtain the analytical formula of an arbitrary n-th order perturbation solution whose perturbation parameter is the central deflection for a circular thin plate under a concentrated load by means of its integral equation. All unknown constants of every perturbation solution can be determined by a computer. Hence, a higher order perturbation solution is obtained. Based on the solution of higher order perturbation, asymptotical properties and a suitable interval for Chien's perturbation solution are also discussed.
convergence criterion for series expansion
scientific article; zbMATH DE number 4078953