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Lambert, J.D. (1973) Computational Methods in Ordinary Differential Equations. Academic Press, Cambridge.

has been cited by the following article:

• TITLE: An Explicit Single-Step Nonlinear Numerical Method for First Order Initial Value Problems (IVPs)

  AUTHORS: Omolara Fatimah Bakre, Ashiribo Senapon Wusu, Moses Adebowale Akanbi

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.9, September 3, 2020

  ABSTRACT: 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.