**Finite Difference Methods for
Ordinary and Partial Differential Equations
Steady State and Time Dependent Problems
**

**Chapter 8**
Stiff ODEs

**m-files:**

- decay1.m Sample code using matlab ODE solver for decay process.
- decaytest.m Test decay1 for various tolerances.
- plotS.m Plot the region of absolute stability S (and also the order star if desired) for a one-step method.
- makeplotS.m Sets R(z) for a specific one-step method and calls plotS. Contains R(z) for several methods.
- plotSrkc.m Plot stability region S for Runge-Kutta-Chebyshev methods.
- chebpoly.m Evaluate Chebyshev polynomial (used by plotSrkc.m)
- chebpoly1.m Evaluate first derivative of Chebyshev polynomial (used by plotSrkc.m)
- chebpoly2.m Evaluate second derivative of Chebyshev polynomial (used by plotSrkc.m)

**Exercises:**