![]() ![]() It can be seen that Newton-Raphson may converge faster than any other method but when we compare the performance, it is needful to consider both cost and speed of convergence. The whole study is comparing the rate of performance of Bisection, and Newton-Raphson methods of finding roots. The higher the order, the faster the method converges. The rate of convergence could be linear, quadratic or otherwise. That is Some methods are faster in converging to the roots than others. Different methods converge the roots at different rates. It arises in a wide variety of practical application in Physics, Chemistry, Biosciences, etc. The root finding problem is one of the most relevant computational problem. In this paper we are going to get detail information about the different methods such as Bisection, Secant and Newton-Raphson methods and the difference between the ways of solving and the difference between each of them. INTRODUCTION The fact that the roots of the polynomial can be obtained immediately using computer program as MATLAB, does not diminish the importance of gaining the new ways for solving the polynomial equation, simpler than that of current ones. We will get to know how these methods differ from each other I. At the conclusion we will elaborate on the differences in solving a particular polynomial equation by using variety of method, what are the differences among these methods and difficulty level of them. Less time consumption and easiness of solving equation can be brought by changing variable and by some small change in calculation. These methods are evolving and improved on regular basis. ![]() There are some different method to solve the same problem but the question arises that which method is better, more time efficient and more accurate. We are going to study three methods i.e, equation by Bisection, Regular-Falsi and Newton-Raphson methods and how these methods differ from each other. In this research paper we are going to detail about how to calculate approximate value of roots of the polynomial equation by different ways. ![]()
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