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High order quadrature based iterative method for approximating the solution of nonlinear equations | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 8، دوره 9، شماره 2، آذر 2020، صفحه 243-255 اصل مقاله (113.76 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2020.18818.1500 | ||
| نویسنده | ||
| Oghovese Ogbereyivwe* | ||
| Mathematics Dept., Delta state poly. Ozoro, Delta State, Nigeria | ||
| تاریخ دریافت: 28 اردیبهشت 1399، تاریخ بازنگری: 19 شهریور 1399، تاریخ پذیرش: 19 شهریور 1399 | ||
| چکیده | ||
| In this paper, weight function and composition technique is utilized to speeds up the convergence order and increase the efficiency of an existing quadrature based iterative method. This results in the proposition of its improved form from a two-point quadrature based method of convergence order ρ = 3 with efficiency index EI = 1:3161 to a three-point method of convergence order ρ = 8 with EI = 1:5157 at the cost of one additional function evaluation. The method is used to approximate the solution of some nonlinear equations and the results generated are compared with that of some existing methods. Numerical results shows that method developed herein is very efficient in approximation of solution of nonlinear equations. | ||
| کلیدواژه‌ها | ||
| Nonlinear equation؛ Quadrature formula؛ Iterative method؛ weight function | ||
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آمار تعداد مشاهده مقاله: 367 تعداد دریافت فایل اصل مقاله: 289 |
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