Publication

Abstract : This paper presents a new algorithm to find a non-zero real root of the transcendental equations using hyperbolic tangent function. Indeed, the new proposed algorithm is based on the combination of hyperbolic tangent series and Newton Raphson method, which produces better approximate root than Newton Raphson method. The implementation of the proposed algorithm is programmed in MATLAB and Maple. Certain numerical examples are presented to validate the efficiency of the proposed algorithm. This algorithm will help to implement in the commercial package for finding a real root of a given transcendental equation.