Implementation of Numerical Integration Simpson 3/8 Rule to Develop a Numerical Simpson Iterative Method for Solving Non-Linear Equations

摘要

This research paper has developed a numerical iterative method by using Simpson 3/8 rule for solving non-linear equations, which equa-tions are studied in different sciences and engineering fields. The devel-oped technique has quadratic converge. This paper reflects the idea and more better results from the work of the authors of 7-8. Examples are given to show that the proposed iterative method is better than compared methods. Our developed method is compared with the Newton Raphson method and the Trapezoidal method. C++/MATLAB was used to compute the numerical results. It can be observed from the results that the simp-son iterative method is better than the Newton Raphson method, and the Trapezoidal method in terms of iteration and accuracy perception.