Date of Award

Spring 1964

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Pettit, Harvey

Second Advisor

Moeller, Arthur

Third Advisor

Talasko, Joseph V.

Abstract

This paper presents a numerical technique for obtaining the solution of two simultaneous differential equations which allows the solution of one equation to proceed with a step size which is an integral multiple of t hat used in obtaining the solution of the other equation. Thus the value of one of the derivatives may be computed less often than the other~ resulting in a saving of time~ particularly if the former is quite difficult to evaluate. The method is derived by combining an extrapolation technique with certain well knowm predictor -corrector formulas. Several numerical tests are presented in order to evaluate the stability and accuracy of the method, and the method is compared with another author's modification of Runge Kutta method.

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