Publication Type : Journal Article
Publisher : WSEAS Transactions on Mathematics
Source : WSEAS Transactions on Mathematics, 23 (2024), 167-175. DOI: 10.37394/23206.2024.23.20
Campus : Amaravati
School : School of Engineering
Department : Mathematics
Year : 2024
Abstract : The initiative of this paper is to present the Runge Kutta Type technique for the development of mathematical solutions to the problems concerning to ordinary differential equation of order six of structure v vi = f(u, v, v′ ) denoted as RKSD with initial conditions. The three and four stage Runge-Kutta methods with order conditions up to order seven (RKSD7) have been designed to evaluate global and local truncated errors for the ordinary differential equation of order six. The framework and evaluation of equations with their results are well established to obtain the effectiveness of RK method towards implicit function satisfying the required initial conditions and for obtaining zero-stability of RKSD7 in terms of their accuracy with maximum precision under minimal processing.
Cite this Research Publication : M. Kaur, J. Bhatti, S. Kumar, S. Thota: "Explicit Runge-Kutta Method for Evaluating Ordinary Differential Equations of type v^vi = f(u, v, v′)", WSEAS Transactions on Mathematics, 23 (2024), 167-175. DOI: 10.37394/23206.2024.23.20