Programa informático para apoyar el aprendizaje de los métodos numéricos de la familia Runge-Kutta desde un computador HP50g

Abstract

A computer program is presented that is designed to accompany the student from his HP50gcomputer from the Hewlett-Packard firm, for learning the Runge Kutta (RK) numericalmethods, which solve the initial value problem (IPV) of Differential Equations. Ordinary (EDOs).The program is called RKFam, and is a contraction of Runge-Kutta Families, since it offers awhole family of explicit type RK methods.The program is easy to use, it consists of a main menu for selecting the type of problem (ODEorder) and the RK method to be used (up to 35 methods). For example, you can choose tosolve a 2-component vector problem, and then choose the fourth-order RK method to solveit. Next, a data entry window is given, and to calculate. The program provides a historical resultof the input and output selections, and a result table with "exquisite" information on theiteration process, ideal for delving into numerical analysis. The program is simple, but at thesame time advanced for expert users.In this sense, the program can export to third-party programs, such as Matlab; likewise, youcan plot and compare results with different methods, or with the exact solution if it is known.It is an ideal program for accompanying the learning of Runge-Kutta numerical methods, evenfrom the classroom, and all from a light, economical and quick-start equipment.