A high accuracy algorithm for numerical solution of nonlinear partial differential equation (PDE) is suggested combining wavelet collocation method with generalized energy integral.
将小波配置法与广义能量积分相结合，提出了一种求解非线性偏微分方程的高精度数值方法。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
A numerical method for the IBV problems of the nonlinear reaction-diffusion equation was described.
本文讨论了求非线性反应—扩散方程初边值问题数值解的一种方法。
A method to find real numerical solution of the nonlinear equation by logarithm complex conversion is presented in this paper.
本文提出一种通过对数复变换求非线性方程实数根数值解的方法。
A numerical method of solving nonlinear equation group in general is proposed in this paper.
提出了一种求解非线性方程组的通用数值方法。
By analyzing the Newton iterative method for nonlinear equation, a new acceleration technique of Newton method is proposed. Numerical results indicate that the acceleration method is effective.
通过对非线性方程求根牛顿迭代法的分析，给出牛顿迭代法的一种新的加速技巧，并通过数值算例验证所作的理论分析。数值结果表明该加速方法是行之有效的。
By analyzing the Newton iterative method for nonlinear equation, a new acceleration technique of Newton method is proposed. Numerical results indicate that the acceleration method is effective.
通过对非线性方程求根牛顿迭代法的分析，给出牛顿迭代法的一种新的加速技巧，并通过数值算例验证所作的理论分析。数值结果表明该加速方法是行之有效的。
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