AUTHORS: Dhairya Shah, Manoj Sahni, Ritu Sahni
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Iterative schemes are the important tool for solving nonlinear equations arising in many real life problems. Our literature is rich with lots of iterative schemes, which are useful for solving nonlinear equations of one or more variables. Among them, Newton-Raphson method is the simplest and highly convergent with second order convergence. It is vastly used by researchers, applied mathematicians and engineers. Problems arising in our day to day life cannot be easily describe by crisp values, because in real life situations, always some uncertainty is involved and in those situations we receive some fuzzy values instead of crisp values. So it is immensely important to develop some iterative schemes, which can easily tackle this kind of fuzzy environment. The intent of this paper is to show advantage of using newly developed fuzzified He’s iterative method over N-R method and Kang method for solving nonlinear equations of one variable arising in the fuzzy environment. Some numerical examples are illustrated for depicting the efficiency of new fuzzified He’s iterative scheme.
KEYWORDS: He’s iterative method; Nonlinear algebraic equations; Transcendental equations; NewtonRaphson method; Fuzzified iterative scheme; Kang Iterative method.
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