四阶偏微分方程的数值解法可视化软件仿真  

Visual Software Simulation for Numerical Solution of Fourth-Order Partial Differential Equations

作　　者：吕娜 纪红 LV Na;JI Hong(Changchun College of Electronic Technology-School of Optoelectronic Science,Changchun Jilin 130012,China;Beihua University-School of Computer Science and Technology,Jilin Jilin 132000,China)

机构地区：[1]长春电子科技学院光电科学学院,吉林长春130012 [2]北华大学计算机科学技术学院,吉林吉林132000

出　　处：《计算机仿真》2023年第4期336-340,共5页Computer Simulation

摘　　要：为了实现对仿真目标的可视化绘制,提出基于四阶偏微分方程数值解法的可视化软件仿真方法。结合仿真目标参数域设计用于仿真目标属性求解的四阶偏微分方程,采用MATLAB数值解法求解偏微分方程,并设计属性精确值求解的边界条件。在MATLAB偏微分方程工具箱中,通过对应的操作指令,设计仿真目标初始曲面后,准确提取仿真目标属性的精确解,在初始曲面的基础之上绘制仿真目标的可视化图像。测试结果显示,上述方法应用后,绘制的可视化仿真图像画面光滑,可优化仿真目标可视化图像绘制效果。In order to realize the visualization of the simulation target,a method of simulating visual software based on the numerical solution of fourth-order partial differential equations was put forward.Combining with the simulation target parameter domain,we designed a fourth-order partial differential equation for solving the target property,and then used MATLAB numerical method to solve the partial differential equation.Meanwhile,we designed the boundary conditions for solving the exact values of the attributes.In MATLAB partial differential equation toolbox,we designed an initial surface of the simulation target through corresponding instructions.After that,we could extract the exact solution.Finally,the visual image of the simulation target was drawn on the basis of the initial surface.The test results show that the visual simulation image becomes smoother,so the proposed method can optimize the drawing effect of the visual image of the simulation target.

关 键 词：四阶偏微分方程 可视化软件 边界条件 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]