Efficient Born Iterative Method for Inverse Scattering Based on Modified Forward-Solver by Teng-Fei Wei, Xiao-Hua Wang, Lei Wang, Zhihong Feng, Bing-Zhong Wang

Subjects: “…Born iterative method…”
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Mechanical Analogy-based Iterative Method for Solving a System of Linear Equations by Yu. V. Berchun, P. V. Burkov, A. S. Chirkova, S. M. Prokopieva, D. L. Rabkin, A. A. Lykyanov

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Wave Concept Iterative Method Validation for 2D Metallic Obstacles Scattering by LUCANU, N., PLETEA, I. V., BOGDAN, I., BAUDRAND, H.

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Stability Anomalies of Some Jacobian-Free Iterative Methods of High Order of Convergence by Alicia Cordero, Javier G. Maimó, Juan R. Torregrosa, María P. Vassileva

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Solution of Some Systems of Nonlinear Partial Differential Equations by Variational Iteration Method by Mohammad Taghi Darvishi, Farzad Khani, Somayeh Hamedi-Nezhad

“…This paper applies the variational iteration method to solve two systems of nonlinear partial differential equations, numerically and/or analytically. …”
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He’s Variational Iteration Method for Solving Multi-Dimensional of Navier Stokes Equation by Mohamed Zellal, Kacem Belghaba

“…In this paper, He’s variational iteration method (VIM), established by He in (1999), is adopted to solve two and three dimensional of Navier-Stokes equation in cartesian coordinates. …”
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An Iterative Method for Solving a Class of Fractional Functional Differential Equations with “Maxima” by Khadidja Nisse, Lamine Nisse

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Semilocal convergence analysis of an eighth order iterative method for solving nonlinear systems by Xiaofeng Wang, Yufan Yang, Yuping Qin

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Unified Convergence Criteria of Derivative-Free Iterative Methods for Solving Nonlinear Equations by Samundra Regmi, Ioannis K. Argyros, Stepan Shakhno, Halyna Yarmola

Subjects: “…iterative method…”
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Parametric Iterative Method for Addressing an Embedded-Steel Constitutive Model with Multiple Roots by José J. Padilla, Francisco I. Chicharro, Alicia Cordero, Alejandro M. Hernández-Díaz, Juan R. Torregrosa

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A Family of Multiple-Root Finding Iterative Methods Based on Weight Functions by Francisco I. Chicharro, Rafael A. Contreras, Neus Garrido

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On the analytical approximation of the quadratic non-linear oscillator by modified extended iteration method by Ikramul Haque B. M., Flora Shajia Afrin

“…A modified analytical solution of the quadratic non-linear oscillator has been obtained based on an extended iteration method. In this study, truncated Fourier terms have been used in each step of iterations. …”
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Optimal Perturbation Iteration Method for Solving Fractional Model of Damped Burgers’ Equation by Sinan Deniz, Ali Konuralp, Mnauel De la Sen

Subjects: “…optimal perturbation iteration method…”
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An Accurate Analytical-Numerical Iterative Method for the Susceptible-Infected-Recovered Epidemic Models by Sudi Mungkasi

“…We recall some existing analytical approximate iterative methods for solving these models. We observe that all these methods solve the models accurately only for points close to the initialisation. …”
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A Parameterized Multi-Splitting Iterative Method for Solving the PageRank Problem by Yajun Xie, Lihua Hu, Changfeng Ma

“…In this paper, a new multi-parameter iterative algorithm is proposed to address the PageRank problem based on the multi-splitting iteration method. The proposed method solves two linear subsystems at each iteration by splitting the coefficient matrix, considering therefore inner and outer iteration to find the approximate solutions of these linear subsystems. …”
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Fourth-order iterative method without calculating the higher derivatives for nonlinear equation by Shengfeng Li

“…Secondly, by using approximants of the second derivative and the third derivative, we obtain an improved iterative method, which is not only two-step iterative method but also avoids calculating the higher derivatives of the function. …”
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Approximate solution of linear differential equations of neutral type by aggregative-iterative method by L. P. Kostyshyn, Ya. J. Bigun

“…Iteration process for approximate solution is constructed by aggregation-iterative method and its convergence is proved.…”
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On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations by Mu-Zheng Zhu, Guo-Feng Zhang, Ya-E Qi

“…Theoretical analysis shows that the SHSS-PCG iterative method with circulant preconditioners is convergent. …”
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The asymptotic iteration method applied to certain quasinormal modes and non Hermitian systems by Özer Okan, Roy Pinaki

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Hybrid Iteration Method for Fixed Points of Nonexpansive Mappings in Arbitrary Banach Spaces by Osilike MO, Isiogugu FO, Nwokoro PU

“…<p/> <p>We prove that recent results of Wang (2007) concerning the iterative approximation of fixed points of nonexpansive mappings using a hybrid iteration method in Hilbert spaces can be extended to arbitrary Banach spaces without the strong monotonicity assumption imposed on the hybrid operator.…”
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