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.
Keywords: Ordinary Differential Equations (ODE), Initial Value problems (IVP), Parsing Techniques, Grammar Rules
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ABOUT THE AUTHORS
A.O. Anidu
Anidu Adesola.O. holds a Masters degree in Computer Science and is currently on her Ph.D programme. She is an assistant lecturer in the Department of Computer Science, Redeemer’s University Ede. Her research interests include biometrics, mathematical computing, e-learning and artificial intelligence.
S.A Arekete
Arekete Samson A. holds a Ph.D degree in Computer Science. He has over 10 years experience in lecturing and is a senior lecturer in the Department of Computer Science, Redeemer’s University, Ede. His research areas are agents in mobile technology, intelligent agents technology, artificial intelligence and context-aware computing.
A.O. Adedayo
Adedayo Ayomide O. is a student in the Department of Computer Science, Redeemer’s University. Her research interests are mathematical computing, compiler construction
A.O. Adekoya
Adekoya Adekunle O. holds a Masters degree in Computer Science and currently on his Ph.D programme. He is a senior programmer in Redeemer’s University with over 10 years experience in programming.
A.O. Anidu
Anidu Adesola.O. holds a Masters degree in Computer Science and is currently on her Ph.D programme. She is an assistant lecturer in the Department of Computer Science, Redeemer’s University Ede. Her research interests include biometrics, mathematical computing, e-learning and artificial intelligence.
S.A Arekete
Arekete Samson A. holds a Ph.D degree in Computer Science. He has over 10 years experience in lecturing and is a senior lecturer in the Department of Computer Science, Redeemer’s University, Ede. His research areas are agents in mobile technology, intelligent agents technology, artificial intelligence and context-aware computing.
A.O. Adedayo
Adedayo Ayomide O. is a student in the Department of Computer Science, Redeemer’s University. Her research interests are mathematical computing, compiler construction
A.O. Adekoya
Adekoya Adekunle O. holds a Masters degree in Computer Science and currently on his Ph.D programme. He is a senior programmer in Redeemer’s University with over 10 years experience in programming.
