Keywords:-

Keywords: Root of non-linear transcendental functions, Regula-Falsi method, Muller's method, hybrid algorithm.

Article Content:-

Abstract

This paper present a new algorithm to find the root of non-linear transcendental functions. The new proposed algorithm is based on the combination of Regula-Falsi and Muller's Methods. It is found that Regula-Falsi method always gives guaranteed result but slow convergence. Muller is used the concept of interpolation to compute the root with faster convergence. As, it is well known that interpolation techniques are more popular and efficient for finding missing values. Therefore, the present paper used these two ideas and developed a new quadratically convergent algorithm. Error calculation has been done for real life examples using existing methods and new proposed method. The computed result shows that new proposed method provides better convergence than other methods.

References:-

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Thota, S., & Srivastav, V. K. (2014). Interpolation based Hybrid Algorithm for Computing Real Root of Non-Linear Transcendental Functions. International Journal Of Mathematics And Computer Research, 2(11), 729-735. Retrieved from https://ijmcr.in/index.php/ijmcr/article/view/182