Approximation of the Numerical Simulation of Nonlinear Transcendental Equation

The numerical approximation of non-linear equation f (x) = 2^xe^x + 1 + 2 cos x.2^x — 6.2^x = 0 is demonstrated using Bisection, Newton and Secant Methods. The goal of the paper is to compare the approaches for finding the root of a non-linear equation in terms of implementation and convergence rate in the interval 1 ≤ x ≤ 2 and demonstrate the numerical solution compared. The Bisection technique converges with a large number of computing iterations and a slow rate of convergence, while the Newton and Secant converge quickly and with a very small error. As a result, numerically approximations answers of the approaches on sample issue suggest that Newton and Secant are absolutely exact and effective than the outcomes obtained through the Bisection technique.