A New Approach to Nonlinear Partial Differential Equations

查看全文 作　　者：Jihuan HE (Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 2 0 0 0 72 ,China) 出　　处：《Communications in Nonlinear Science and Numerical Simulation》索引1997年第2卷第4期,共6页 摘　　要：In this paper,a novel method called variational iteration method is proposed to solve nonlinear partial differential equations without linearization or small perturbations.In this method,a correction functional is constructed by a general Lagrange multiplier,which can be identified via variational theory.An analytical solution can be obtained from its trial- function with possible unknown constants,which can be identified by imposing the boundary conditions,by successively iteration. 关 键 词：非线性偏微分方程 变分迭代法 变分理论