ISSN : 2488-8648
International Journal of Basic Science and Technology
A publication of the Faculty of Science, Federal University Otuoke, Bayelsa State
Home About IJBST For Authors Issues Useful Downloads Contact
ISSN : 2488-8648
Home About IJBST For Authors Issues Useful Downloads Contact
Questions are asked and these questions need answers. This is the reason why this page is created to enable us share few worries!
×published date:2023-Oct-03
FULL TEXT in - 
| page 154 -161
Abstract
When analytical solutions are unavailable or difficult to find, numerical methods play an important role in solving linear and nonlinear problems. In this paper, we analyze and compare five numerical approaches typically utilized for solving linear and nonlinear problems arising in Physics, Engineering, Biosciences, etc. These are the Bisection method, Newton-Raphson method, Secant method, Regula-Falsi method, and Fixed-Point Iterative method. The weaknesses and strengths of each of these methods are examined and contrasted in terms of convergence, accuracy, computational efficiency, and applicability to different types of equations. The results of this research will assist academics and practitioners in making informed decisions on how to address algebraic and transcendental problems in their respective disciplines
Keywords: Numerical Methods, Convergence, Root, Iteration,
Abdul-Hassan, N. Y. (2016). New Predictor-Corrector Iterative Methods with Twelfth-Order Convergence for Solving Nonlinear Equations. American Journal of Applied Mathematics, 4 (4), 175-180.
Adegoke, T. M., Adegoke, G. K., Yahya, A. M., and Oduwole, H. K. (2018). Comparative Study of Some Numerical Iterations Using Zero Truncated Poisson Distribution. 1–30.
Azurel, I., Aloliga, G. and Doabil, L. (2019). Comparative Study of Numerical Methods for Solving Nonlinear Equations Using Manual Computation. Mathematics Letters. Vol. 5, No. 4, 2019, pp. 41-46. doi: 10.11648/j.ml.20190504.11.
Dass, H. K. and Verma, E. R. (2012). Higher Engineering Mathematics. S. Chand and Company Pvt. Ltd. Ram Nagar, New Delhi. 3rd Edition.
Ebelechukwu, O. C., Johnson, B. O., Michael, A. I., and Fidelis, A. T. (2018). Comparison of Some Iterative Methods of Solving Nonlinear Equations. International Journal of Theoretical and Applied Mathematics, 4 (2), 22.
Ehiwario, J. C. and Aghamie, S. O. (2014). Comparative Study of Bisection, Newton-Raphson and Secant Methods of Root-Finding Problems. IOSR Journal of Engineering (IOSRJEN), 4 (04).
Epperson, J. F. (2013). An Introduction to Numerical Analysis. John Willey & Sons Inc. 2nd edition.
Faires, J. D. and Burden, R. (2013). Numerical Methods. Brooks/Cole CENGAGE Learning. 4th edition.
Grewal, B. S. (2019). Numerical Methods in Engineering and Science. Mercury Learning and Information LLC. 3rd edition.
Kumar, R. (2015). Comparative Analysis of Convergence of Various Numerical Methods. 6 (June), 290–297.
Moheudd in, M. M., Uddin, M. J., and Kowsher, M. A New Study to Find out the Best Computational Method for Solving the Nonlinear Equation.
Otto, S. R. and Denier, J. P. (2005). An Introduction to Programming and Numerical Methods in MATLAB. Springer-Verlag London Limited.
FULL TEXT in - | page 154 -161
Issue 2-Apr-Jun
Issue 1-Jan-Mar
Issue 4-Oct-Dec
Issue 3-Jul-Sep
Issue 2-Apr-Jun
Issue 1-Jan-Mar
Issue 4-Oct-Dec
Issue 3-Jul-Sep
Issue 2-Apr-Jun
Issue 1-Jan-Mar
Issue 4-Oct-Dec
Issue 2-Apr-Jun
Issue 1-Jan-Mar
Issue 4-Oct-Dec
Issue 3-Jul-Sep
Issue 4-Oct-Dec
Issue 2-Apr-Jun
Issue 1-Jan-Mar
Issue 4-Oct-Dec
Issue 3-Jul-Sep
Issue 2-Apr-Jun
Issue 4-Oct-Dec
Issue 1-Jan-Mar
Copyright © International Journal of Basic Science and Technology | Faculty of Science, Federal University Otuoke 2019. All Rights Reserved.
P.M.B. 126, Yenagoa. Bayelsa state Nigeria
Get the most recent updates
and be updated your self...