A multi-point iterative method for solving nonlinear equations with optimal order of convergence

QR Code

A multi-point iterative method for solving nonlinear equations with optimal order of convergence

In this study, a three-point iterative method for solving nonlinear equations is presented. The purpose is to upgrade a fourth order iterative method by adding one Newton step and using a proportional approximation for last derivative. Per iteration this method needs three evaluations of the functi...

Full description

Bibliographic Details
Main Authors:	Nik Long, Nik Mohd Asri, Salimi, Mehdi, Sharifi, Somayeh, Pansera, Bruno Antonio
Format:	Article
Language:	English
Published:	Springer 2018
Online Access:	http://psasir.upm.edu.my/id/eprint/72929/ http://psasir.upm.edu.my/id/eprint/72929/1/KUNG.pdf

Similar Items

Review of some iterative methods for solving nonlinear equations with multiple zeros
by: Jamaludin, Nur Alif Akid, et al.
Published: (2019)

Third order convergence iterative method for multiple roots of nonlinear equation
by: Jamaludin, Nur Alif Akid, et al.
Published: (2019)

New third order convergence iterative method for finding multiple roots of nonlinear equations
by: Jamaludin, Nur Alif Akid, et al.
Published: (2018)

New highly accurate iterative method of third order convergence for finding the multiple roots of nonlinear equations
by: Jamaludin, Nur Alif Akid, et al.
Published: (2019)

Convergence of variational iteration method for solving singular partial differential equations of fractional order
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Iterative methods for solving nonlinear equations with multiple zeros
by: Jamaludin, Nur Alif Akid
Published: (2018)

On Newton-Kantorovich method for solving the nonlinear operator equation
by: Hameed, Hameed Husam, et al.
Published: (2015)

On solving an nxn system of nonlinear Volterra integral equations by the Newton-Kantorovich method
by: Hameed, Hameed Husam, et al.
Published: (2016)

Developing a new family of Newton–Secant method with memory based on a weight function
by: Nik Long, Nik Mohd Asri, et al.
Published: (2017)

Convergence of modified homotopy perturbation method for Fredholm-Volterra integro-differential equation of order m
by: Eshkuvatov, Zainidin K., et al.
Published: (2017)

Four Point High Order Compact Iterative Schemes For The Solution Of The Helmholtz Equation
by: Teng, Wai Ping
Published: (2015)

Fourth-Order Spline Methods For Solving Nonlinear Schrödinger Equation
by: Ahmad, Azhar
Published: (2021)

Quarter-sweep arithmetic mean iterative algorithm to solve fourth-order parabolic equations
by: Sulaiman, Jumat, et al.
Published: (2009)

A hierarchical matrix adaptation on a family of iterative method for solving poisson equation
by: Nik Mazlan, Nik Amir Syafiq
Published: (2016)

Effective quadrature formula in solving linear integro-differential equations of order two
by: Eshkuvatov, Zainidin K., et al.
Published: (2016)

The iterative solutions of nonlinear fractional differential equations
by: Zhang, Xinguang, et al.
Published: (2013)

A variational-fixed point iterative technique for the solution of second order differential equations
by: Kilicman, Adem, et al.
Published: (2016)

Fourth-order solutions of nonlinear two-point boundary value problems by Newton-HSSOR iteration
by: Sulaiman, Jumat, et al.
Published: (2013)

A new technique point iterative method for solving poisson equation on MIMD computer system
by: Mohamed Othman,, et al.
Published: (1998)

Implementation of red black strategy to quarter sweep iteration for solving first order hyperbolic equations
by: Hasan, Mohammad Khatim, et al.
Published: (2008)

On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

An Efficient Parallel Quarter-sweep Point Iterative Algorithm for Solving Poisson Equation on SMP Parallel Computer
by: M., Othman, et al.
Published: (2000)

A new high order iterative alternating decomposition explicit method to solve the heat conduction equation
by: Sahimi, M.S., et al.
Published: (2000)

Nonlinear the first kind Fredholm integro-differential first-order equation with degenerate kernel and nonlinear maxima
by: Yuldashev, T. K., et al.
Published: (2022)

On the solution of multi-dimensional nonlinear integral equation with modified newton method
by: Hameed, Hameed Husam, et al.
Published: (2017)

Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
by: Elfaghi, Abdulhafid M., et al.
Published: (2009)

Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
by: M. Elfaghi, Abdulhafid, et al.
Published: (2009)

Iterative solution for nonlinear impulsive advection- reaction-diffusion equations
by: Hao, X., et al.
Published: (2016)

Approximate solution of nonlinear system of integral equations
by: Eshkuvatov, Zainidin K., et al.
Published: (2010)

Development of high-order adaptive multi-step Runge–Kutta–Nyström method for solving special second-order ODEs
by: Abdulsalam, Athraa, et al.
Published: (2024)

Sufficient conditions on existence of solution for nonlinear fractional iterative integral equation
by: Damag, Faten H. M., et al.
Published: (2017)

Scaled parallel iterative method for finding real roots of nonlinear equations
by: Chuei, Yee Chen, et al.
Published: (2021)

Scaled parallel iterative method for finding real roots of nonlinear equations
by: Chen, Chuei Yee, et al.
Published: (2021)

The expansion approach for solving cauchy integral equation of the first kind
by: Yaghobifar, Mohammad, et al.
Published: (2010)

Differential game for an infinite system of two-block differential equations
by: Ibragimov, Gafurjan, et al.
Published: (2022)

An adaptive hierarchical matrix on point iterative Poisson solver
by: Nik Mazlan, Nik Amir Syafiq, et al.
Published: (2016)

Predictor-corrector block iteration method for solving ordinary differential equations
by: Zanariah Abdul Majid,, et al.
Published: (2011)

Half-sweep iterative method for solving two-dimensional Helmholtz equations.
by: Mohd Kamalrulzaman, Md. Akhir, et al.
Published: (2012)

Predictor-corrector block iteration method for solving ordinary differential equations
by: Abdul Majid, Zanariah, et al.
Published: (2011)

Half-sweep iterative method for solving two-dimensional Helmhotz equations.
by: Md Akhir, Mohd Kamalrulzaman, et al.
Published: (2012)