Solving transcendental equations using Genetic Algorithms

I. Analytical/Iterative methods to solve transcendental equations Transcendental equations are equations containing trigonometric, algebraic, exponential, logarithmic, etc. terms. Many analytical/iterative methods are used to solve transcendental equations. Though these methods are capable of solving many transcendental equations they suffer from many common disadvantages. Usually transcendental equations have many solutions in a given range, and analytical methods are not able to find all these roots in a given interval, even when they find several solutions, it is not possible to conclude that the given method has found the complete set of roots/solutions, and has not missed any particular solution. Also, these methods fail in case of misbehaved or discontinuous functions. Hence, though these methods may work very well in some situations, they are not general in nature and need a lot of homework from the Analyst. An analysis of some common methods used for solving transcendental equations, their disadvantages and cases of failures are discussed below. a) Newton Raphson method: This is a commonly used method for solvin