Comparison of Newton's Interpolation and Aitken's Methods with Some Numerical Methods for Solving System of First and Second Order Differential Equation

• Authors: JP. C. Mbagwu , Nasr Al Din Ide
• Languages of publication: EN

Abstracts

EN

There has been a greater attempt to solve differential equations by numerical methods. In this paper, we will treat the problem of system of two equations of first and second orders by using Newton’s Interpolation and Aitken's Methods and we will compare the results with Some Numerical Methods as the method of Euler method, Euler Cauchy method (Modified Euler Method) and Range Kutta method.

Keywords

EN

Differential equation of first and second orders; Euler Cauchy Method; Euler Method; Modified - Euler Method; Newton's Interpolation and Aitken's Methods; Numerical method; Range Kutta Method

Discipline

• INFORMATICS: INFORMATICS

• Publisher: Scientific Publishing House „DARWIN”
• Journal: World Scientific News
• Year: 2022
• Volume: 164
• Pages: 108-121

Contributors

author

JP. C. Mbagwu

• Department of Physics, Faculty of Physical Science, Imo State University, Owerri, Nigeria

author

Nasr Al Din Ide

• Department of Mathematics, Faculty of Science, Aleppo University, Aleppo, Syria

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• Document Type: article