Dhairya Shah, Manoj Sahni, Ritu Sahni, "Solution of Algebraic and Transcendental Equations using Fuzzified He’s Iteration Formula in terms of Triangular Fuzzy Numbers ," WSEAS Transactions on Mathematics, vol. 18, pp. 91-96, 2019, DOI:
Dhairya Shah, Manoj Sahni, Ritu Sahni. Solution of Algebraic and Transcendental Equations using Fuzzified He’s Iteration Formula in terms of Triangular Fuzzy Numbers .
WSEAS Transactions on Mathematics. 2019;18:91-96.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 18, 2019
Solution of Algebraic and Transcendental Equations using Fuzzified He’s Iteration Formula in terms of Triangular Fuzzy Numbers
Authors: , ,
Abstract: 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.
Pages: 91-96 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #12 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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