Numerical treatment of Kap's equation using a class of fourth order method
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Date
2011
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Publisher
Academic Journals
Abstract
Kap's equation is a stiff initial value problem. This paper deals with the treatment of Kap's equation using a class of 4th order explicit Runge-Kutta method. Numerical computation was carried out using Microsoft Visual C++. The results of the computation were found to be highly accurate and consistent with minima errors. A comparison of the results generated from the scheme was also carried out vis-a-vis some other conventional explicit Runge-Kutta formulae. The proposed class of method was found to compare favourably well.
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Keywords
Kap's equation, Stiffness, Initial value problems, Multiderivative explicit Runge-Kutta method, Fourth order method, Runge-Kutta method
Citation
Akanbi, M.A. et al. (2011). Numerical treatment of Kap's equation using a class of fourth order method. International Journal of the Physical Sciences, 6(15): 3827-3833