AUTHORS: Manoj Sahni, Ashnil Mandaliya, Ritu Sahni
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In the literature, a lot of numerical methods are available for solving both algebraic and transcendental equations. The Newton-Raphson method is the most commonly used because of its simplicity and faster convergence. The intent of this paper is to fuzzify the generalized Newton Raphson type iterative scheme, known as He’s iteration for solving the nonlinear algebraic and transcendental equations arising in fuzzy environment. Several examples are taken for depicting the efficiency of new fuzzified He’s iterative scheme and its comparison table is given depicting the number of iterations required in Newton-Raphson, He’s Iteration and Fuzzified He’s iteration method.
KEYWORDS: He’s iteration, nonlinear equations, Newton-Raphson method, Fuzzified iterative scheme.
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