非線形偏微分方程式に含まれるパラメータ群の卸約条件による最適化 : 第1報, 課題と新解法の一般的記述

抄録

This report describes a new method to evaluate unknown parameters and solution used in, and the solution to, a nonlinear partial differential equation (P. D. E.) with some constraints. It is based on the Newton-Raphson method for finding the unknown parameters and solution. Using the solution of the variational differential equations with respect to the parameters of the nonlinear P. D. E., this method evaluates partial derivatives for the Newton Raphson method exactly. It can be successfully applied to finding the unknown parameters and the solutions in the nonlinear problem.