A Derivative Free Hybrid Equation Solver by Alloying of the Conventional Methods

Autor:	Amit Kumar Maheshwari
Rok vydání:	2013
Předmět:	Nonlinear system symbols.namesake Transcendental equation Mathematical analysis Bisection method symbols False position method Function (mathematics) Derivative Solver Newton's method Mathematics
Zdroj:	Mathematical Journal of Interdisciplinary Sciences. 1:19-26
ISSN:	2278-957X 2278-9561
DOI:	10.15415/mjis.2013.12009
Popis:	This paper pronounces a modified numerical scheme to the conventional formula of Newton-Raphson for solving the nonlinear and transcendental equations especially those which cannot be solved by the basic algebra. Finding the derivative of a function is difficult in some case of problems. The present formula is made with the target to aloof the need of obtaining the derivative of the function. Comparative analysis shows that the present method is faster than Newton-Raphson method, Adomian method, Rabolian method, Abbasbandy method, Basto method & Feng method. Iteration cost effective parameters – number of iteration steps & the value of effective error is also found to be minimum than these methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d6a80c9edc1852b43bcddcac1fb5798d https://doi.org/10.15415/mjis.2013.12009 Zobrazit plný text záznamu