Runge-Kutta and rational block methods for solving initial value problems

International Conference on Science and Applied Science (Engineering and Educational Science) 2016

物理学;工业技术;教育

Mungkasi, Sudi^1 ; Christian, Agung^1

Department of Mathematics, Faculty of Science and Technology, Sanata Dharma University, Mrican, Tromol Pos 29, Yogyakarta

55002, Indonesia^1

关键词: Block methods;    First order;    Numerical results;    Second orders;    Type methods;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/795/1/012040/pdf
DOI  :  10.1088/1742-6596/795/1/012040

来源: IOP

【 摘 要 】

Three methods to solve initial value problems are considered. The methods are the first order Euler's, second order Heun's, and rational block methods. The Euler's and Heun's methods are of the Runge-Kutta type. Numerical results show that the rational block method is more robust than Runge-Kutta type methods in solving initial value problems.