An iterative method based on the average quadrature formula
Publish Year: 1404
Type: Journal paper
Language: English
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Document National Code:
JR_CAND-4-1_005
Index date: 2 February 2025
An iterative method based on the average quadrature formula abstract
In our research, a new third-order iterative method has been introduced. This method involves the creation of a new quadrature formula by averaging Simpson's 1/3 rd and Trapezoidal rules. The newly developed quadrature formula is then used to establish the new iterative scheme, which modifies the Newton-Raphson method. It has been demonstrated that the new iterative technique exhibits a convergence order of 3. Finally, examples have been provided to illustrate the effectiveness of the new process. The results indicate that the new approach finds the root of the nonlinear equation in fewer iterations compared to other methods, suggesting the potential superiority of our newly developed scheme.
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An iterative method based on the average quadrature formula authors
Tusar Singh
Department of Mathematics, Siksha O Anusandhan University, Bhubaneswar, Odisha, India.
Dwiti Behera
Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India.
Shno Othman Ahmed
Department of Computer, College of Science, Salahaddin University-Erbil, Erbil, Iraq.
Rostam Saeed
Department of Mathematics, College of Science, Salahaddin University-Erbil, Kurdistan Region, Erbil, Iraq.
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