Efficient iterative methods with and without memory possessing high efficiency indices by Lotfi, Taher, Soleymani, Fazlollah, Noori, Zohreh, Kilicman, Adem, Haghani, Farhad Khaksar

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The arithmetic mean iterative method for solving 2D Helmholtz equation by Muthuvalu, Mohana Sundaram, Md Akhir, Mohd Kamalrulzaman, Sulaiman, Jumat, Suleiman, Mohamed, Dass, Sarat Chandra, Sawaran Singh, Narinderjit Singh

“…In this paper, application of the Arithmetic Mean (AM) iterative method is extended by solving second order finite difference algebraic equations. …”
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Third order convergence iterative method for multiple roots of nonlinear equation by Jamaludin, Nur Alif Akid, Nik Long, Nik Mohd Asri, Salimi, Mehdi, Ismail, Fudziah

“…We present a new third order convergence iterative method for solving multiple roots of nonlinear equation, which requires one function evaluation and two evaluation of first derivative of function per step. …”
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Review of some iterative methods for solving nonlinear equations with multiple zeros by Jamaludin, Nur Alif Akid, Nik Long, Nik Mohd Asri, Salimi, Mehdi, Sharifi, Somayeh

“…In this paper, some iterative methods with third order convergence for solving the nonlinear equation were reviewed and analyzed. …”
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Scaled parallel iterative method for finding real roots of nonlinear equations by Chuei, Yee Chen, Ghazali, Abdul Hakim, Wah, June Leong

“…Through interval computation, the Weierstrass-like parallel iterative methods are known for their efficiency in finding polynomial zeros. …”

New Estimation Method of an Error for J Iteration by Aftab Hussain, Danish Ali, Nawab Hussain

Subjects: “…iterative method…”
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The Four-Parameter PSS Method for Solving the Sylvester Equation by Hai-Long Shen, Yan-Ran Li, Xin-Hui Shao

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Development of a reservoir simulator by excel using iterative method for in-situ combustion / by Kireth Kaur Gurbachan Singh, 1988-, Mohd. Nawi Derahman, supervisor, Fakulti Kejuruteraan Petroleum dan Tenaga Diperbaharui

On Homotopy Perturbation and Variational Iteration Methods for Linear and Nonlinear Heat Transfer Equations by D.D. Ganji, A. R. Rezania, A. R. Ghorbali

“…One is He's variational iteration method (VIM) and the other is He's homotopy-perturbation method (HPM). …”
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The optimal efficiency index of a class of Hermite iterative methods with two steps by Ion Păvăloiu

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A new two-step iterative method for solving absolute value equations by Jingmei Feng, Sanyang Liu

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Implicit Iteration Methods with Errors for Discrete Non-Lipschitzian Families with Perturbed Mappings by Kim Tae-Hwa, Kim Kui-Yeon

“…<p>Abstract</p> <p>Motivated and inspired by the recent works on implicit iteration methods, we prove necessary and sufficient conditions for strong convergence of the eventually implicit iteration methods with errors to a common fixed point of a discrete family which is continuous total asymptotically nonexpansive (in brief, TAN) on <inline-formula> <graphic file="1029-242X-2010-820535-i1.gif"/></inline-formula>-uniformly smooth Banach spaces with a perturbed mapping <inline-formula> <graphic file="1029-242X-2010-820535-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1029-242X-2010-820535-i3.gif"/></inline-formula>, under some suitable control conditions of parameters. …”
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Approximation of an Inertial Iteration Method for a Set-Valued Quasi Variational Inequality by Mohammad Akram

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A new family of optimal fourth-order iterative methods for nonlinear equations by Ahmet Yaşar Özban, Bahar Kaya

Subjects: “…Iterative method…”
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The simplified modulus-based matrix splitting iteration method for the nonlinear complementarity problem by Ximing Fang

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Relaxed modified Newton-based iteration method for generalized absolute value equations by Xin-Hui Shao, Wan-Chen Zhao

“…The famous Picard iteration method and the modified Newton-type iteration method are the exceptional cases of the RMN iteration method. …”
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Finite Element Iterative Methods for the 3D Steady Navier--Stokes Equations by Yinnian He

“…The method consists of transmitting the finite element solution <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><msub><mi>u</mi><mi>h</mi></msub><mo>,</mo><msub><mi>p</mi><mi>h</mi></msub><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> of the 3D steady Navier–Stokes equations into the finite element solution pairs <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><msubsup><mi>u</mi><mi>h</mi><mi>n</mi></msubsup><mo>,</mo><msubsup><mi>p</mi><mi>h</mi><mi>n</mi></msubsup><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> based on the finite element space pair <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>X</mi><mi>h</mi></msub><mo>×</mo><msub><mi>M</mi><mi>h</mi></msub></mrow></semantics></math></inline-formula> of the 3D steady linearized Navier–Stokes equations by using the Stokes, Newton and Oseen iterative methods, where the finite element space pair <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>X</mi><mi>h</mi></msub><mo>×</mo><msub><mi>M</mi><mi>h</mi></msub></mrow></semantics></math></inline-formula> satisfies the discrete inf-sup condition in a 3D domain <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mo>Ω</mo></semantics></math></inline-formula>. …”
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Applications of New Iterative Method to fractional non linear coupled ITO system by Rashid Nawaz, Samreen Farid, Samia Bushnaq

“… In this article New Iterative Method (NIM) is tested upon time fractional coupled ITO system. …”
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Generalized accelerated AOR splitting iterative method for generalized saddle point problems by Jin-Song Xiong

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Iterative Method for Solving a Nonlinear Fourth Order Integro-Differential Equation by Areej Salah Mohammed

“…This problem is difficult to solve because there is a non-linear term under the integral sign, however, a number of authors have suggested iterative methods for solving this type of equation. The solution is obtained as a series that merges with the exact solution. …”
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