Abstract
In this paper, we derive an explicit four stage fifth-order Improved Runge-Kutta (IRKD) methodfor numerical integration of special third-order ordinary differential equation. The method proposed here is two-stepin nature and require less number of stages per step compared with the existing Runge-Kutta (RK) method. Thestability polynomial of the IRKD method is presented. Numerical results are given to illustrate the efficiency of theproposed method compared to the RK method and direct Runge-Kutta (RKD) method for solving special third-orderordinary differential equations. Keywords: Special third-order ordinary differential equations, Runge-Kutta method, IRKD method, StabilityPloynomial
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
