A third order convergent method for solving nonlinear equations

dc.contributor.author	Lanel, G. H. J.
dc.date.accessioned	2022-09-15T10:11:23Z
dc.date.available	2022-09-15T10:11:23Z
dc.date.issued	2020
dc.identifier.citation	Lanel, G. H. J. (2020). A third order convergent method for solving nonlinear equations. IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 16, Issue 6 Ser. IV (Nov. – Dec. 2020), PP 25-29	en_US
dc.identifier.uri	http://dr.lib.sjp.ac.lk/handle/123456789/12313
dc.description.abstract	Derivation of the Newton-Raphson method involves an indefinite integral of the derivative of the function, and the relevant area is approximated by a rectangle. In this study, the area under the curve which is appearing in the derivation of Newton-Raphson method is approximated by two points Gaussian quadrature formula. With the help of that an improvement to the Newton-Raphson method is presented for root finding of one variable nonlinear equation. This iterative method converges to the root faster than the Newton-Raphson method and the claim is proved by showing the new method is third order convergent. The Established theory is supported by computed results by applying the new method to a wide range of functions and comparing it with the Newton's method and some third order iterative methods.	en_US
dc.language.iso	en	en_US
dc.publisher	IOSR Journal of Mathematics	en_US
dc.subject	Newton's method, Gaussian quadrature formula, Iterative methods, Number of iterations, Order of convergence	en_US
dc.title	A third order convergent method for solving nonlinear equations	en_US
dc.type	Article	en_US