CH E374 Lecture Notes - Lecture 8: Mixed Boundary Condition, Full Metal Jacket Bullet, Finite Difference Method

• School: University of Alberta
• Department: Chemical Engineering
• Course: CH E374
• Professor: Joe Mmbaga

Document Summary

Your textbook (s. c. chapra) does not contain a section on partial differential equations. In general, partial differential equations may be solved using finite difference method, just as shown for ordinary differential equations. Here we discuss the different forms of partial differential equations, boundary conditions and discretization techniques. The key difference is that we shall perform discretization in two or more variables. In this course we will limit ourselves to pde"s of first and second order with mostly two independent variables (e. g. x and y or x and t). The order of a pde is related to the highest derivative in the equation. In a first-order pde the highest derivative is first order; in a second-order pde the highest derivative is second order. The general form of a second-order, linear pde in two independent variables x and y is: (8. 1) In general a, b, c, d, e, f, h are functions of x and y.