# Documentation

### This is machine translation

Translated by
Mouseover text to see original. Click the button below to return to the English verison of the page.

# Solution Visualization and Interpolation

Plot, animate, and interpolate PDE solutions and their gradients

Access solutions and their gradients at the mesh nodes or interpolate them to arbitrary points within the domain. Visualize solutions and gradients by creating surface, contour, and arrow (quiver) plots with or without mesh display. For command-line plotting, see Plot 2-D Solutions and Their Gradients and Plot 3-D Solutions and Their Gradients.

For 2-D PDEs, you also can use the PDE Modeler app. The app lets you plot three different solution properties at the same time, using color, height, and vector field plots. You can create plots in the app itself or in separate figures. See Plot the Solution in the PDE Modeler App.

You also can create an animated movie of the solution. See Wave Equation.

## Functions

 `evaluateGradient` Evaluate gradients of PDE solutions at arbitrary points `evaluateCGradient` Evaluate flux of PDE solution `interpolateSolution` Interpolate PDE solution to arbitrary points `pdeplot` Plot solution or mesh for 2-D geometry `pdeplot3D` Plot solution or surface mesh for 3-D geometry
 `createPDEResults` Create solution object `evaluate` Interpolate data to selected locations `pdecont` Shorthand command for contour plot `pdecgrad` Flux of PDE solution `pdegrad` Gradient of PDE solution `pdesurf` Shorthand command for surface plot

## Using Objects

 `EigenResults` PDE eigenvalue solution and derived quantities `StationaryResults` Time-independent PDE solution and derived quantities `TimeDependentResults` Ttime-dependent PDE solution and derived quantities
 `pdeInterpolant` Interpolant for nodal data to selected locations

## Topics

### Programmatic Workflow

Plot 2-D Solutions and Their Gradients

Visualize a 2-D PDE solution and its gradient at nodal and arbitrary locations.

Plot 3-D Solutions and Their Gradients

Visualize a 3-D PDE solution and its gradient at nodal and arbitrary locations.

Dimensions of Solutions, Gradients, and Fluxes

Dimensions of stationary, time-dependent, and eigenvalue results at mesh nodes and arbitrary locations.

### PDE Modeler App Workflow

Plot the Solution in the PDE Modeler App

Interactively plot the solution of a 2-D PDE or other physical properties calculated using the solution.