In this dissertation, the nonlinear partial differential algebraic equation or equations(PDAE or PDAEs) related to some nonlinear topics which origin from physics, mechanics and optics et al are studied, including exact solutions(soliton solutions, periodic solution), the projective Riccati equation method and Taylor series solutions.
本文以计算机代数和导师张鸿庆教授的“AC=BD”理论为工具，以构造机械化算法为目的，以源于物理，力学，光学等领域中的非线性问题所对应的非线性偏微分代数方程(组)为研究对象，研究了它们的一些问题，如精确解(孤子解，周期解)，Riccati方程展开法，微分代数及Taylor级数解。
Forced oscillation for solutions of systems of high order nonlinear neutral type partial differential equations with delays;
高阶非线性中立型时滞偏微分方程系统解的强迫振动性
Using of the partial differential equation in working holes of boxes;
偏微分方程在箱体孔系加工中的应用
A forth-order partial differential equation used for image denoising;
用于图像去噪的一个四阶偏微分方程
Image denoising method on surface of steel strip based on partial differential equations;
基于偏微分方程的带钢表面图像去噪方法
Variable step explicit difference method for parabolic partial differential equations;
抛物型偏微分方程的变步长显式差分解法
SAR image segmentation method with multiple regions based on partial differential equations;
基于偏微分方程的多区域SAR图像分割方法研究
To solve the problem of dim target detection with lower signal to noise/clutter ratios,an image enhancement algorithm was developed by improving the traditional Perona & Malik diffusion model based on partial differential equation(PDE).
为解决低对比度弱目标单帧检测率较低的问题,提出一种基于偏微分方程(PDE)的弱目标增强算法,对传统的P-M各向异性扩散模型进行改进,在扩散函数中引入锐化因子,通过选取适当的梯度门限和锐化强度参数,自适应地平滑背景和增强弱目标。
Wavelet and Partial Differential Equation(PDE) are the main methods in removing image noise.
小波方法和偏微分方程方法是图像去噪中的主要方法。
The paper illustrates a function of describing image restoration based on Partial Differential Equation(PDE),and deduces new PDE image restoration model.
首先基于偏微分方程(PDE)提出一个描述图像复原的泛函,并推导出新的PDE图像复原模型,该模型不仅复原效果良好,而且能较好地保持图像的特征。
Application of Wu-Ritt Elimination Method in the Partial Differential Algebraic Equation;
Wu-Ritt消元法在偏微分代数方程中的应用
Differential Equations for Singular Vectors of sl(∞);
李代数sl(∞)奇异向量的偏微分方程(英文)
differential equation with deviating argument
偏差自变数微分方程
Numerical Methods for PDE
偏微分方程数值解法
The Alternating Group Explicit Iterative Method for the Partial Differential Equation;
偏微分方程的交替分组显式迭代方法
Fractional Partial Differential Equation s Numerical Solution and Fundamental Solution;
分数阶偏微分方程的数值解及基本解
Theoretical and Numerical Investigation of Fractional Partial Differential Equations
分数阶偏微分方程的理论和数值研究
Numerical Methods to Solve Partial Differential Equations Based on Spline Functions;
基于样条函数的偏微分方程数值解法
A Feature Analysis of Numerical Solution for Partial Differential Equations;
偏微分方程组数值解奇异性特征分析
Numerical Solutions of Modern Differential Equations ?
现代微分方程数值解
Linear Algebra & Differential Equations
线性代数与微分方程
Partial Differential Equation in the Digital Image Inpainting;
偏微分方程在数字图像inpainting中的应用
Bivariate Spline Method for Numerical Solution of Partial Differential Equations;
二元样条函数方法求偏微分方程数值解
A Genetic Programming Approach to Partial Differential Equation Inverse Problems;
偏微分方程参数识别问题的遗传程序设计方法
Numerical Analysis of Volume Element Methods for Two Kinds of Partial Differential Equations;
两类偏微分方程体积元方法的数值分析
The Mixed Finite Element Method and Numerical Analysis for Two Kinds of Parabolic Partial Differential Equations;
两类抛物型偏微分方程混合元方法的数值分析
Finite Difference Method and Numerical Simulation of Stochastic Partial Differential Equations
有限差分方法与随机偏微分方程的数值模拟
method of integration of partial differential equations
偏微分方程的积分法