General PDEs

解决一般线性和非线性PDE，以解决固定，时间依赖和特征值问题

您可以使用部分微分方程Toolbox™来解决线性和非线性二阶PDE，以解决工程和科学中常用应用中发生的固定，时间依赖和特征值问题。

解决通用PDE或PDE系统的典型工作流程包括以下步骤：

Convert PDEs to the form required by Partial Differential Equation Toolbox.
Create a PDE model container specifying the number of equations in your model.
Defining 2-D or 3-D geometry and mesh it using triangular and tetrahedral elements with linear or quadratic basis functions.
Specify the coefficients, boundary and initial conditions. Use function handles to specify non-constant values.
在节点位置求解和绘制结果，或将它们插入自定义位置。

Functions

`Createpde`	Create model
`applyBoundaryCondition`	Add boundary condition to`pdemodel`container
`specifyCoefficients`	在PDE模型中指定系数
`setInitialConditions`	Give initial conditions or initial solution
`汇集`	组装有限元矩阵
`solvepde`	Solve PDE specified in a PDEModel
`solvepdeeig`	Solve PDE eigenvalue problem specified in a PDEModel

`评估Gradient`	在任意点评估PDE溶液的梯度万博尤文图斯
`评估`	Evaluate flux of PDE solution
`interpolateSolution`	插值PDE解决方案到任意点

`pdeplot`	绘图解决方案或二维问题网格
`pdeplot3d`	Plot solution or surface mesh for 3-D problem
`PDEGPLOT`	绘图PDE几何形状
`pdemesh`	Plot PDE mesh
`Pdeviz`	创建和绘制PDE可视化对象

`findBoundaryConditions`	找到几何区域的边界条件分配
`查找功率`	Locate active PDE coefficients
`findInitialConditions`	Locate active initial conditions

`pdemodel`	PDE model object
`StationaryResults`	时间无关的PDE解决方案和衍生量
`时间依赖性`	Time-dependent PDE solution and derived quantities
`EigenResults`	PDE eigenvalue solution and derived quantities

边界条件属性	Boundary condition for PDE model
系数安装属性	系数的屁股ignments
几何质量属性	区域或区域边界上的初始条件
结节性属性属性	Initial conditions at mesh nodes
pdesolveroptions属性	Algorithm options for solvers
pdevisalizational属性	PDE visualization of mesh and nodal results

使用pdemodel对象解决问题
Workflow describing how to set up and solve PDE problems using Partial Differential Equation Toolbox.
Specify Boundary Conditions
Set Dirichlet and Neumann conditions for scalar PDEs and systems of PDEs. Use functions when you cannot express your boundary conditions by constant input arguments.
指定系数的F系数
在方程式中指定系数f。
Set Initial Conditions
Set initial conditions for time-dependent problems or initial guess for nonlinear stationary problems.

Solution and Gradient Plots with pdeplot and pdeplot3D
Plot 2-D and 3-D PDE solutions and their gradients usingpdeplot和pdeplot3d.
2-D Solution and Gradient Plots with MATLAB Functions
使用2-D PDE解决方案万博尤文图斯及其梯度使用surf,网,颤动, and other MATLAB^®功能。
3-D Solution and Gradient Plots with MATLAB Functions
Plot 3-D PDE solutions, their gradients, and streamlines usingsurf,contourslice,颤动和其他MATLAB功能。
Dimensions of Solutions, Gradients, and Fluxes
Dimensions of stationary, time-dependent, and eigenvalue results at mesh nodes and arbitrary locations.

Eigenvalues and Eigenmodes of Square
找到正方形域的特征值和特征模。
L形膜的特征值和本征象
Use command-line functions to find the eigenvalues and the corresponding eigenmodes of an L-shaped membrane.
Wave Equation on Square Domain
Solve a standard second-order wave equation.
Helmholtz Equation on Disk with Square Hole
Compute reflected waves from an object illuminated by incident waves.

您可以使用PDE工具箱求解的方程式
Types of scalar PDEs and systems of PDEs that you can solve using Partial Differential Equation Toolbox.
Put Equations in Divergence Form
将PDE转换为部分微分方程工具箱所需的形式。
有限元方法基础知识
描述使用有限元方法使用分段线性函数近似PDE解决方案的说明。