3. First Order Equations

The book’s treatment of first order equations is not very intuitive, and the artificial parameter may not be a convenient one. Also, you would like to write a solution of a partial differential equation without applying a boundary condition. This chapter gives an alternate approach that defines no artificial quantities.

- 3.1 Classification and characteristics
- 3.2 Numerical solution
- 3.3 Analytical solution
- 3.4 Application of the boundary or initial condition
- 3.5 The inviscid Burgers’ equation
- 3.5.1 Wave steepening
- 3.5.2 Shocks
- 3.5.3 Conservation laws
- 3.5.4 Shock relation
- 3.5.5 The entropy condition

- 3.6 First order equations in more dimensions
- 3.7 Systems of First Order Equations (None)