Jarratt and Jarratt-variant families of iterative schemes for scalar and system of nonlinear equations
سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 22
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شناسه ملی سند علمی:
JR_IJNAO-14-29_004
تاریخ نمایه سازی: 19 اردیبهشت 1403
چکیده مقاله:
This manuscript put forward two new generalized families of Jarratt’s iterative schemes for deciding the solution of scalar and systems of nonlinear equations. The schemes involve weight functions that are based on a bi-variate rational approximation polynomial of degree two in both its numerator and denominator. The convergence study conducted on the schemes indicated that they have convergence order (CO) four in scalar space and retain the same number of CO in vector space. The numerical experiments conducted on the schemes when used to decide the solutions of some real-life nonlinear models, show that they are good challengers of some well-known and robust existing iterative schemes.
کلیدواژه ها:
Jarratt scheme ، Iterative scheme ، Rational approximation polynomial ، Nonlinear equation ، Systems of nonlinear equations
نویسندگان
Oghovese Ogbereyivwe
Department of Mathematics and Statistics, Delta State University of Science and Technology, Delta State, Nigeria.
Edafe Atajeromavwo
Department of Software Engineering, Delta State University of Science and Technology, Delta State, Nigeria.
Salisu Umar
Department of Statistics, Federal Polytechnic, Auchi, Nigeria.