Date of Award
Thesis - Restricted
Master of Science (MS)
Talasko, Joseph V.
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.
Robinson, Robert J., "Extrapolating Predictor-Corrector Method of the Solution of Simultaneous Differential Equations" (1964). Master's Theses (1922-2009) Access restricted to Marquette Campus. 2165.