A First Course in Partial Differential Equations

Millersville University/Department of Mathematics

A First Course in Partial Differential Equations

This page links to resources supporting the second edition of the textbook, A First Course in Partial Differential Equations, written by Robert Buchanan and Zhoude Shao, and published by World Scientific and Imperial College Press. Please send all comments, corrections, or questions to Robert Buchanan.

Textbook errata
Students' solutions manual
Instructors adopting the textbook for classroom use may find the lecture slides helpful during classroom presentations.
A zip archive of all the lectures slides and supporting files is also available.

The remaining links are to Java source code files for examples and exercises from the textbook chapter on finite difference techniques for approximating solutions to partial differential equations.

Explicit method for approximating the solution to the heat equation with homogeneous Dirichlet boundary conditions. This method is used to generate the data plotted in Figs. 14.2-14.4.
Crank-Nicolson implicit method for approximating the solution to the heat equation with homogeneous Dirichlet boundary conditions. This method is used in Example 14.1.
Crank-Nicolson implicit method used to generate the data points represented as a surface in Fig. 14.6.
Crank-Nicolson implicit method for approximating the solution to the heat equation with homogeneous Robin boundary conditions. The output is used to generate Table 14.3.
Solution to Exercise 14.3.3.
Solution to Exercise 14.3.4.
Solution to Exercise 14.3.5.
Solution to Exercise 14.3.6.
Solution to Exercise 14.3.7.
Solution to Exercise 14.3.8.
Solution to Exercise 14.3.9.
Solution to Exercise 14.3.10.
Explicit method for approximating the solution to the wave equation with homogeneous Dirichlet boundary conditions. This method is used in Example 14.2.
Implicit method for approximating the solution to the wave equation with homogeneous Dirichlet boundary conditions. This method is used in Example 14.3.
Solution to Exercise 14.4.2.
Solution to Exercise 14.4.4.
Solution to Exercise 14.4.5.
Solution to Exercise 14.4.6.
Solution to Exercise 14.4.7.
Solution to Exercise 14.4.8.
Solution to Exercise 14.4.9.
Solution to Exercise 14.4.10.
Jacobi iterative method for appoximating the solution to a linear system of equations. This method is used in Example 14.6.
Gauss-Seidel iterative method for appoximating the solution to a linear system of equations. This method is used in Example 14.7.
Use of the Gauss-Seidel iterative method to approximate the solution to Laplace's equation. This method is used to generate the data plotted in Fig. 14.10.
A comparison of the Gauss-Seidel and Successive Over-Relaxation methods for approximating the solutions to linear systems of equations. This program is used to generate the data tabulated in Example 14.8.
Use of the Successive Over-Relaxation method to approximate the solution to Poisson's equation. This method is used in Example 14.9.
Solution to Exercise 14.6.1.
Solution to Exercise 14.6.2.
Solution to Exercise 14.6.3.
Solution to Exercise 14.6.4.
Solution to Exercise 14.6.5.
Solution to Exercise 14.6.6.
Solution to Exercise 14.6.7.
Solution to Exercise 14.6.8.
Solution to Exercise 14.6.9.
Solution to Exercise 14.6.10.

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