Shadab Hussain

Shadab Hussain

Data Scientist at The Math Company

Publications

A New Proposed Numerical Algorithm for Computing Real Root of Functions

Published in National Conference on Emerging Trends in Physics of Fluids & Solids, 2015

The present paper discusses a new algorithm to find the root of non-linear transcendental functions. It is found that Regula-Falsi method always gives guaranteed result but slow convergence. However, interpolation based method does not give guaranteed result but faster than Regula-Falsi method. Therefore, the present paper used these two thoughts and developed a new algorithm which has better convergence than Regula-Falsi and guaranteed result. The present proposed algorithm will be useful for finding the real root of real life problems. Read more

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Quadratically Convergent Algorithm for Computing Real Root of Non-Linear Transcendental Functions

Published in National Conference on Applications of Mathematical and Engineering Sciences, 2014

This paper describes a new algorithm to find a root of non-linear transcendental equations. It is found that Regula-Falsi method always gives guaranteed result but slow convergence. However, Newton–Raphson method does not give guaranteed result but faster than Regula-Falsi method. Therefore, the present paper used these two ideas and developed a new algorithm which has better convergence than Regula-Falsi and guaranteed result. One of the major issue in Newton–Raphson method is, it fails when first derivative is zero or approximately zero. Read more

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