Result: MODIFIED NEW SIXTH-ORDER FIXED POINT ITERATIVE METHODS FOR SOLVING NONLINEAR FUNCTIONAL EQUATIONS

Title:
MODIFIED NEW SIXTH-ORDER FIXED POINT ITERATIVE METHODS FOR SOLVING NONLINEAR FUNCTIONAL EQUATIONS
Authors:
Waqas Nazeer, Muhammad Tanveer, Khalil Ur Rehman, S.M. Kang
Source:
International Journal of Pure and Apllied Mathematics. 109
Publisher Information:
Academic Publications, 2016.
Publication Year:
2016
Subject Terms:
0209 industrial biotechnology, Economics, Geometry, 02 engineering and technology, Mathematical analysis, Quantum mechanics, 01 natural sciences, Convergence Analysis of Iterative Methods for Nonlinear Equations, Higher-Order Methods, Interior-Point Methods, Point (geometry), FOS: Mathematics, 0101 mathematics, Fixed-point theorem, Order (exchange), Matrix Algorithms and Iterative Methods, Numerical Analysis, Nonlinear Programming, Numerical Optimization Techniques, Physics, 4. Education, Mathematical optimization, Fixed point, Applied mathematics, Iterative method, Computational Theory and Mathematics, Physical Sciences, Computer Science, Nonlinear system, Iterative Methods, Mathematics, Finance, Mixed-Integer Nonlinear Programs
Document Type:
Academic journal Article<br />Other literature type
Language:
English
ISSN:
1314-3395
1311-8080
DOI:
10.12732/ijpam.v109i2.5
DOI:
10.60692/a0nxk-gzb16
DOI:
10.60692/77w14-0rb90
Access URL:
https://ijpam.eu/contents/2016-109-2/5/5.pdf
https://www.ijpam.eu/contents/2016-109-2/5/index.html
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....bfe63c7b32d9f15c0f700d9bde3adb3c
Database:
OpenAIRE

Further Information

In this paper, we present a modified new sixth-order fixed point iterative method for solving nonlinear functional equations and analyzed.The modified new sixth-order fixed point iterative method has convergence of order six and efficiency index 1.8171 which is larger than most of the existing methods and the methods discussed in Table 1.The modified new sixth-order fixed point iterative method converges faster than the methods discussed in Tables 1-6.The comparison tables demonstrate the faster convergence of the modified new sixth-order fixed point method.
In this paper, we present a modified new sixth-order fixed point iterative method for solving nonlinear functional equations and analyzed.The modified new sixth-order fixed point iterative method has convergence of order six and efficiency index 1.8171 which is larger than most of the existing methods and the methods discussed in Table 1.The modified new sixth-order fixed point iterative method converges faster than the methods discussed in Tables 1-6.The comparison tables demonstrate the fastergence of the modified new sixth-order fixed point method.
في هذه الورقة، نقدم طريقة تكرارية جديدة معدلة للنقطة الثابتة من الدرجة السادسة لحل المعادلات الوظيفية غير الخطية وتحليلها. تحتوي الطريقة التكرارية الجديدة المعدلة للنقطة الثابتة من الدرجة السادسة على تقارب الترتيب السادس ومؤشر الكفاءة 1.8171 وهو أكبر من معظم الطرق الحالية والطرق التي تمت مناقشتها في الجدول 1. تتقارب الطريقة التكرارية الجديدة المعدلة للنقطة الثابتة من الدرجة السادسة بشكل أسرع من الطرق التي تمت مناقشتها في الجداول 1-6. توضح جداول المقارنة التقارب الأسرع لطريقة النقطة الثابتة الجديدة المعدلة من الدرجة السادسة.