Date of Defense





An ordinary differential equation is a relation F between a function of one variable and one or more of its derivatives. The process of solving such an equation consists of finding a function of y(x) which satisfies the given relation. The solution to such an equation is ideally expressed in terms of explicit functional relationships. However, there are a great many equations for which no such explicit solutions exist. In order to solve the practical problems in which these equations arise, it is necessary to use techniques by which one can approximate numerical values of the function at selected values of the argument, without actually knowing the general appearance of the function itself. The purpose of this paper is to present several numerical approximation techniques, and to illustrate their application to some sample problems.

Access Setting

Honors Thesis-Campus Only