A NEW ALGORITHM FOR COMPUTING A ROOT OF TRANSCENDENTAL EQUATIONS USING SERIES EXPANSION

Abstract

In this paper, we discuss a new algorithm to find a non-zero real root of the transcendental equations using series expansion. This proposed method is based on the inverse series expansion, which gives a good approximate root than some other existing methods. The implementation of this algorithm is presented in Matlab and Maple. Sample numerical examples are presented to illustrate and validate the efficiency of the proposed algorithm. The method will help to implement in the commercial package for finding a real root of a given transcendental equation