改进的康托洛维奇方法及其应用

在康托洛维奇方法和Kerr方法的基础上,本文提出了改进的康托洛维奇方法。本方法在不提高方程阶数的基础上,能获得较Kerr方法精度更高的解;能解决工程中更广泛的问题。本文将改进康托洛维奇方法应用于薄板弯曲和稳定性问题以及膜的振动问题,充分说明了本方法的特点和优越性。

IMPROVEMENT TO THE KANTOROVICH METHOD AND ITS APPLICATION

Based on the Kantorovich and Kerr's method, an improvement to the method is suggested in this paper. By this method, higher accuracy of solution can be achieved compared with that of Kerr's method. In addition, a great number of problems in engineering can be solved more satisfactorily by the present method without raising the orders of the differential equations, The improved method is demonstrated in various fields such as the static analysis of plate, vibration, of membrane and stability of thin plate. It has been shown that the suggested method superior in some respects than the traditional Kantorovich and Kerr's method.