Solving Problems Numerically 1.0

In this article (SOLVING PROBLEMS NUMERICALLY), we look at solving two problems numerically. The problems solved are relatively simple and actually have closed-form solutions. We use simple examples to illustrate the steps involved in obtaining numerical solutions without getting too involved in the mathematics. And, by having closed-form, or exact, solutions available, it gives us something to check our computer programming techniques. The first problem (one-dimensional) requires the determination of a model rocket engines burn time in order to achieve a desired altitude. The second problem (two-dimensional) is a numerical implementation of converting from rectangular to polar coordinates. While solving these problems, we will address some of common problems encountered when implementing numerical (computer-based) solutions. Suggestions for using the example problems and potential expansions of the problems are addressed.