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A Hybrid Method To Solve Algebraic And Transcendental Equations

Amit Kumar Maheshwari*

Advanced Materials and Processes Research Institute (CSIR), Bhopal, India.

Periodicity:July - September'2012
DOI : https://doi.org/10.26634/jmat.1.3.1946

Abstract

The present paper illustrates an innovative scheme to solve nonlinear and transcendental equations. Comparative analysis shows that the present method is faster than Newton — Raphson method, Hybrid iteration method and Numerical approach given by Maheshwari. In fact, this is a modification to Numerical approach given by Maheshwari. Iteration cost effective parameters - iteration steps & value of absolute error is also found to be minimum than these methods without going to the computation of second derivatives. The efficiency is also found to be maximum among all the method compared here.

Keywords

Algebraic & Transcendental Equation, Taylor Expansion, Newton-Raphson Method, Iteration Process, Slope Bisector.

How to Cite this Article?

Maheshwari, A.K. (2012). A Hybrid Method to Solve Algebraic and Transcendental Equations. i-manager’s Journal on Mathematics, 1(3), 18-22. https://doi.org/10.26634/jmat.1.3.1946

References

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[6]. Maheshwari Amit Kumar (2012). Solution of Algebraic and Transcendental Equation: A New Numerical Approach. Anushandhan 1(1), 62-65.

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