Taylor collocation method for solving a class of the first order nonlinear differential equations
No Thumbnail Available
Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
In this study, we present a reliable numerical approximation of the some first order nonlinear ordinary differential equations with the mixed condition by the using a new Taylor collocation method. The solution is obtained in the form of a truncated Taylor series with easily determined components. Also, the method can be used to solve Riccati equation. The numerical results show the effectuality of the method for this type of equations. Comparing the methodology with some known techniques shows that the existing approximation is relatively easy and highly accurate.
Description
Keywords
Numerical methods , Ordinary differential equations , Riccati equations , Collocation method , Collocation points , First order nonlinear differential equations , Highly accurate , Nonlinear ordinary differential equation , Numerical approximations , Numerical results , Taylor polynomials , Nonlinear equations