A Sixth-Order Explicit Single-Step Nonlinear Numerical Method
Amanze I. U.1, Bakre O. F.2, Olabanjo O. A.3*, Wusu A. S.1, and Akanbi M. A.1
Abstract
In this work, a sixth-order explicit single step non-linear method for solving initial value problems whose solutions possess singularities is constructed. The stability and convergence properties of the constructed method are investigated. Also, the associated local truncation error is presented. Using some standard test problems, the accuracy and efficiency of the method are established by its implementation and the results obtained are compared with those discussed in the literature.
Keywords
nonlinear; singularities; ordinary differential equations; first order; initial value problems
Cite This Article
Amanze. I. U., Bakre, O.F., Olabanjo, O. A., Wusu, A. S., Akanbi, M. A. (2023). A Sixth-Order Explicit Single-Step Nonlinear Numerical Method. International Journal of Scientific Advances (IJSCIA), Volume 4| Issue 2: Mar-Apr 2023, Pages 215-219, URL: https://www.ijscia.com/wp-content/uploads/2023/04/Volume4-lssue2-Mar-Apr-No.419-215-219.pdf
Volume 4 | Issue 2: Mar-Apr 2023
