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Discontinuity, Nonlinearity, and Complexity 13(1) (2024) 65--75 | DOI:10.5890/DNC.2024.03.005

S.E. Fadugba, A. A. Adeniji, S. B. Mugisha

Department of Mathematics, Ekiti State University, Nigeria

Department of Mathematics & Statistics, Tshwane University of Technology, South Africa

Department of Mathematical Sciences, University of South Africa

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Abstract

This paper proposes a new scheme for the solution of first order Riccati ordinary differential equations by means of the transcendental function of exponential type. The properties of the scheme were analyzed and investigated. Four numerical examples have been solved to test the performance of the scheme against exact solution and in terms of the absolute relative errors with different step sizes. The comparative analyses of the results were also presented.

Acknowledgments

%\begin{acknowledgement} The authors wish to thank Tshwane University of Technology for their financial support and the Department of Higher Education and Training, South Africa. %\end{acknowledgement}

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