Author(s)

Omolara Fatimah Bakre¹, Ashiribo Senapon Wusu², Moses Adebowale Akanbi²

¹Department of Mathematics & Statistics, Federal College of Education (Technical), Lagos, Nigeria.
²Department of Mathematics, Lagos State University, Lagos, Nigeria.

Interest in the construction of efficient methods for solving initial value problems that have some peculiar properties with it or its solution is recently gaining wide popularity. Based on the assumption that the solution is representable by nonlinear trigonometric expressions, this work presents an explicit single-step nonlinear method for solving first order initial value problems whose solution possesses singularity. The stability and convergence properties of the constructed scheme are also presented. Implementation of the new method on some standard test problems compared with those discussed in the literature proved its accuracy and efficiency.

Ordinary Differential Equations, First Order, Initial Value Problems, Nonlinear, Singularities

Bakre, O. , Wusu, A. and Akanbi, M. (2020) An Explicit Single-Step Nonlinear Numerical Method for First Order Initial Value Problems (IVPs). Journal of Applied Mathematics and Physics, 8, 1729-1735. doi: 10.4236/jamp.2020.89130.