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MATLAB Mathematics - SERC - Index of

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Partial Differential Equations<br />

Partial Differential Equations<br />

This section describes how to use <strong>MATLAB</strong> to solve initial-boundary value<br />

problems for partial differential equations (PDEs). It provides:<br />

• A summary <strong>of</strong> the <strong>MATLAB</strong> PDE functions and examples<br />

• An introduction to PDEs<br />

• A description <strong>of</strong> the PDE solver and its syntax<br />

• General instructions for representing a PDE in <strong>MATLAB</strong>, including an<br />

example<br />

• Instructions on evaluating the solution at specific points<br />

• A discussion about changing default integration properties<br />

• An example <strong>of</strong> solving a real-life problem<br />

PDE Function Summary<br />

<strong>MATLAB</strong> PDE Solver<br />

This is the <strong>MATLAB</strong> PDE solver.<br />

PDE Initial-Boundary Value Problem Solver<br />

pdepe<br />

Solve initial-boundary value problems for systems <strong>of</strong> parabolic<br />

and elliptic PDEs in one space variable and time.<br />

PDE Helper Function<br />

PDE Helper Function<br />

pdeval<br />

Evaluate the numerical solution <strong>of</strong> a PDE using the output <strong>of</strong><br />

pdepe.<br />

PDE Examples<br />

These examples illustrate some problems you can solve using the <strong>MATLAB</strong><br />

PDE solver. Click the example name to see the code in an editor. Type the<br />

example name at the command line to run it.<br />

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