1 / 10

PDE Toolbox

PDE Toolbox. The Partial Differential Equation Toolbox is a Matlab based collection of tools for solving Partial Differential Equations (PDEs) on a two-dimensional surface using the Finite Element Method (FEM).

lmary
Download Presentation

PDE Toolbox

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. PDE Toolbox • The Partial Differential Equation Toolbox is a Matlab based collection of tools for solving Partial Differential Equations (PDEs) on a two-dimensional surface using the Finite Element Method (FEM). • The 2-D surface can be drawn using four different types of solid objects: rectangles, ellipses, circles, and polygons.

  2. Start PDE toolbox • Start MATLAB • Start PDE Toolbox • type: >> pdetool

  3. Boundary Value Problem (BVP) Example: • Find PDEin • Under the BC (Boundary Condition) BC on

  4. Example of BVP • Find in • with the BC (Boundary Condition) on (1,1)

  5. 3 Steps I- Define PDE problem Setup and Setting II- Solve the PDE problem III- Visualize the results

  6. Example • Solve

  7. I- Define a PDE problem 1 –Draw mode: you create the geometry ( set of rectangle, circle, ellipse, and polygon) 2-Boundary mode: specify the boundary conditions (different types of BC on different boundary segments) 3- PDE mode: specify the type of PDE and the coeff (Elliptic, Parabolic, Hyperbolic)

  8. II- Solve a PDE problem 1 –Mesh mode: generate and plot meshes ( generate, refine, control parameters, show labels) 2-Solve mode: solve the discrete problem (Elliptic, Parabolic, Hyperbolic)

  9. III- Visualize the results 1 –Plot mode: wide range of visualization possibilities ( color, vector field plots, surface, mesh, contour) ( time-dependent: animated movie)

  10. Quick Start in MATLAB MATLAB Help (Help/MATLAB Help/Getting Startted/Manipulating Matrices) Read getstart.pdf file A Matlab tutorial from the University of New Hampshire • Matlab Primer (for an earlier version of Matlab) • A Matlab tutorial from the University of New Hampshire • MATLAB Online Reference Documentation provides direct hypertext links to specific MATLAB function descriptions (from the Math Dept, University of Florida). • Matlab Help Desk (including manuals). • Mathworks, Inc., producers of Matlab. • Mathtools.net: a technical computing portal for scientific and engineering needs.

More Related