2022 International Conference on Applied Mathematics, Informatics, and Computing Sciences (AMICS 2022)

Abstract: Applications of various fields of pure and applied sciences and technology, engineering arise in the form non-linear equations f (x) = 0; and many engineers and researchers have been discussed and created several hybrid algorithms to solve nonlinear equations numerically using the well-known classical root finding algorithms.
In this talk, we discuss a seventh order iterative method/algorithm for solving the given transcendental equation. The main idea of the proposed algorithm id based on the modified homotopy perturbation technique. Analysis of converges of the proposed algorithm is also present. An example is discussed to validate and illustrate the proposed algorithm and MS Excel Implementation is presented with sample computations. Using MS Excel spreadsheet, one can makes numerical methods easier to calculate the manual calculations.