Numerical Analogy of q-Function
Journal Title: IOSR Journals (IOSR Journal of Computer Engineering) - Year 2016, Vol 18, Issue 2
Abstract
Abstract : This paper is a collection of q analogue of various classical methods for finding solutions of algebraic and transcendental equations. It also deals with comparing classical methods with q methods proposed by us. We have discussed few problems where these methods are equivalent and also cases where q method is better. We also provide a short explanation about the need of iterative methods in scientific and engineering problems. We have introduced q analogues of some classical methods and discussed their merits and demerits. We have presented the basic definitions and classification of iterative methods and discussed some elementary concepts and definitions regarding roots and systems of nonlinear equations. The fundamental concepts and classification of iterative methods and their significant features are also stated in this paper. We have also used various techniques, which are being used by researchers to produce higher order iterative methods such as functional approximation, sampling, composition, geometric approaches.
Authors and Affiliations
Prashant Singh , Prof. P. K. Mishra
Keywords
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