Comparison between Taylor Series and Picard Method of Successive Approximation in Solving First Order Ordinary Differential Equation
1 Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye, Nigeria
2 Department of Mathematics and Computer Science, Southwestern University, Nigeria
* Corresponding author: onitilo.seu@oouagoiwoye.edu.ng
2 Department of Mathematics and Computer Science, Southwestern University, Nigeria
* Corresponding author: onitilo.seu@oouagoiwoye.edu.ng
Abstract
In this paper, Taylor series method and Picard's method of suc-cessive approximation is being compared with their exact solutionof first order ordinary di erential equation. For numerical anal-ysis of the methods, four examples are considered. The resultsobtained are compared with their corresponding exact solutions.The results confirmed the e ective and ease of using Picard'smethod of successive approximation and Taylor series methodin solving first order ordinary di erential equation (ODE).
Keywords
Taylor Series
Picard's method
ODE
First Order
How to Cite
Onitilo, S. A., & Daniel, D. O. (2019). Comparison between Taylor Series and Picard Method of Successive Approximation in Solving First Order Ordinary Differential Equation. Nigerian Journal of Mathematics and Applications, 29(2), 129-146. https://doi.org/10.67897/njma.2019.no5jcf0j
S. A. Onitilo, and D. O. Daniel, "Comparison between Taylor Series and Picard Method of Successive Approximation in Solving First Order Ordinary Differential Equation," Nigerian Journal of Mathematics and Applications, vol. 29, no. 2, pp. 129-146, December 2019. doi: 10.67897/njma.2019.no5jcf0j
