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Functions in Partial Differential Equation Toolbox

• By Category | Alphabetical List
• PDE Problem Setup

2-D Geometry

 pdetool Open PDE app pdecirc Draw circle pdeellip Draw ellipse pdepoly Draw polygon pderect Draw rectangle csgchk Check validity of Geometry Description matrix csgdel Delete borders between minimal regions decsg Decompose Constructive Solid Geometry into minimal regions pdearcl Interpolation between parametric representation and arc length pdegeom Write custom function for defining geometry wgeom Write geometry specification function

Boundary Conditions

 pdetool Open PDE app assemb Assemble boundary condition contributions pdebound Write custom function for defining boundary conditions wbound Write boundary condition specification file

Meshing

 pdetool Open PDE app initmesh Create initial triangular mesh adaptmesh Adaptive mesh generation and PDE solution jigglemesh Jiggle internal points of triangular mesh refinemesh Refine triangular mesh tri2grid Interpolate from PDE triangular mesh to rectangular grid pdemesh Plot PDE triangular mesh pdeadgsc Select triangles using relative tolerance criterion pdeadworst Select triangles relative to worst value pdeent Indices of triangles neighboring given set of triangles pdeintrp Interpolate from node data to triangle midpoint data pdejmps Error estimates for adaptation pdeprtni Interpolate from triangle midpoint data to node data pdesdp Indices of points/edges/triangles in set of subdomains pdesde Indices of points/edges/triangles in set of subdomains pdesdt Indices of points/edges/triangles in set of subdomains pdetrg Triangle geometry data pdetriq Triangle quality measure

PDE Configuration

Elliptic Equations

 pdetool Open PDE app assempde Assemble stiffness matrix and right side of PDE problem assema Assemble area integral contributions assemb Assemble boundary condition contributions adaptmesh Adaptive mesh generation and PDE solution pdejmps Error estimates for adaptation pdenonlin Solve nonlinear PDE problem poisolv Fast solution of Poisson's equation on rectangular grid poicalc Fast solver for Poisson's equation on rectangular grid poimesh Make regular mesh on rectangular geometry dst Discrete sine transform idst Discrete sine transform poiasma Boundary point matrix contributions for fast solvers of Poisson's equation poiindex Indices of points in canonical ordering for rectangular grid

Parabolic Equations

 pdetool Open PDE app parabolic Solve parabolic PDE problem assema Assemble area integral contributions assemb Assemble boundary condition contributions

Hyperbolic Equations

 pdetool Open PDE app hyperbolic Solve hyperbolic PDE problem assema Assemble area integral contributions assemb Assemble boundary condition contributions

Systems of Equations

 pdetool Open PDE app assempde Assemble stiffness matrix and right side of PDE problem assema Assemble area integral contributions assemb Assemble boundary condition contributions

Solution Visualization

 pdegplot Plot PDE geometry pdeplot Plot solution pdesmech Calculate structural mechanics tensor functions pdecgrad Flux of PDE solution pdegrad Gradient of PDE solution pdecont Shorthand command for contour plot pdemesh Plot PDE triangular mesh pdesurf Shorthand command for surface plot

Electrostatics and Magnetostatics

 pdetool Open PDE app

Structural Mechanics

 pdetool Open PDE app pdesmech Calculate structural mechanics tensor functions

AC Power Electromagnetics

 pdetool Open PDE app

DC Conduction

 pdetool Open PDE app

Heat Transfer and Diffusion

 pdetool Open PDE app

Eigenvalue Problems

 pdetool Open PDE app pdeeig Solve eigenvalue PDE problem sptarn Solve generalized sparse eigenvalue problem