International Journal of Science, Engineering and TechnologyAuthors: G.Sreevani, Assistant Professor
Abstract: In this paper, we discuss some novel computational methods(bisection method, newton Raphson method, regular false method) in the form of iteration schemes for computing the roots of non-linear scalar equations in a new way. The construction of these iteration schemes is purely basedon The Intermediate Value Theorem,Taylor series expansion, Secant line approximations and interval bracketing. The convergence criterion of the suggested schemes is also given and certified that the newly developed iteration schemes possess quartic convergence order. To analyze the suggested schemes numerically, several test examples have been given and then solved.
