Comparison of Euler and Range-Kutta methods in solving ordinary differential equations of order two and four

Autor: David I. LANLEGE, Rotimi KEHINDE, Dolapo A. SOBANKE, Abdulrahman ABDULGANIYU, Umar M. GARBA
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Leonardo Journal of Sciences, Vol 17, Iss 32, Pp 10-37 (2018)
ISSN: 1583-0233
Popis: The purpose of this to produce efficient numerical methods with the same order of accuracy as that of the main starting values for exact solutions of fourth order differential equation without reducing it to a system of first order differential equations. The methods of the differential systems arising from the approximate solution to the problem are adopted using the Runge-Kutta method and stages. The methods were compared and contrasted based on the results obtained. The comparison shows that Euler method gives accurate approximate result than Runge-Kutta method. After the derivation of the formulae of O(h2), the comparison was done in regards to identify the formula with higher accuracy.
Databáze: OpenAIRE