1 research outputs found
Dynamic Computation of Runge Kutta Fourth Order Algorithm for First and Second Order Ordinary Differential Equation Using Java
Differential equations arise in mathematics, physics,medicine, pharmacology,
communications, image processing and animation, etc. An Ordinary Differential
Equation (ODE) is a differential equation if it involves derivatives with
respect to only one independent variable which can be studied from different
perspectives, such as: analytical methods, graphical methods and numerical
methods. This research paper therefore revises the standard Runge - Kutta
fourth order algorithm by using compiler techniques to dynamically evaluate the
inputs and implement the algorithm for both first and second order derivatives
of the ODE. We have been able to develop and implement the software that can be
used to evaluate inputs and compute solutions (approximately and analytically)
for the ODE function at a more efficient rate than the traditional method.Comment: 14 page