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Newton-like methods for solving non-linear equations: Another view.

• Authors : Khan, Nosheen Zareen¹ ; Saravi, M.² ; Bataineh, M.¹

Subjects: *Newton-Raphson method; *Nonlinear equations; *Iterative methods (Mathematics)

• Source: Palestine Journal of Mathematics. 2026, Vol. 15 Issue 1, p943-950. 8p.

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A New Family of Methods for Solving Systems of Nonlinear Equations.

• Authors : Herceg, Đorđe¹ (AUTHOR); Herceg, Dejana² (AUTHOR); Odry, Péter³ (AUTHOR)

• Source: Mathematics (2227-7390). Dec2025, Vol. 13 Issue 24, p3945. 22p.

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Comparative Analysis of Second-Order Unconstrained Iterative Solvers for Non-Linear Inversion of Finite-Element Based DC Resistivity Simulation.

• Authors : Yazdanpanah, A.¹; Abedi, M.¹

Subjects: *Electrical resistance tomography; *Inversion (Geophysics); *Iterative methods (Mathematics)

• Source: Journal of Algorithms & Computation. Dec2025, Vol. 57 Issue 2, p112-128. 17p.

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On Iterative Method for the Solution of Non-Linear Equations Using Anti-Lobatto Four Point Quadrature Rule.

• Authors : Singh, Tusar¹ ; Behera, Dwiti Krushna²

Subjects: *Newton-Raphson method; *Iterative methods (Mathematics); *Numerical integrationMatLab (Computer software)Newton, Isaac, 1642-1727

• Source: Baghdad Science Journal. 2025, Vol. 22 Issue 11, p18123-18132. 10p.

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A New Perspective on the Convergence of Mean-Based Methods for Nonlinear Equations.

• Authors : Cordero, Alicia¹ (AUTHOR); Maldonado Machuca, María Emilia¹ (AUTHOR); Torregrosa, Juan R.¹ (AUTHOR)

• Source: Mathematics (2227-7390). Nov2025, Vol. 13 Issue 21, p3525. 34p.

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Numerical Treatment of the Time-Fractional Kuramoto–Sivashinsky Equation Using a Combined Chebyshev-Collocation Approach.

• Authors : Abd-Elhameed, Waleed Mohamed¹ (AUTHOR) ; Abdelkawy, Mohamed A.² (AUTHOR); Alsafri, Naher Mohammed A.³ (AUTHOR)

• Source: Fractal & Fractional. Nov2025, Vol. 9 Issue 11, p727. 23p.

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ENHANCING NONLINEAR EQUATION SOLUTIONS THROUGH THE COMBINATION OF VARIANT NEWTON’S AND HALLEY’S METHODS.

• Authors : Mohammed Ali, Kazhal H.¹ ; Fathi, Bayda Gh.¹

Subjects: *Nonlinear equations; *Iterative methods (Mathematics); *Time complexityNewton, Isaac, 1642-1727

• Source: Science Journal of University of Zakho. Oct-Dec2025, Vol. 13 Issue 4, p590-599. 10p.

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Tangents and SecTan Methods: New iterations of real root findings.

• Authors : Alhabahbeh, Ahmad¹ ; Al-Hasanat, Bilal N.²

• Source: International Journal of Mathematics & Computer Science. 2025, Vol. 20 Issue 4, p1191-1201. 11p.

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A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution.

• Authors : Ogbereyivwe, O.¹ ; Izevbizua, O.²

Subjects: *Newton-Raphson method; *Power series; *Iterative methods (Mathematics)

• Source: Iranian Journal of Numerical Analysis & Optimization. 2023, Vol. 13 Issue 2, p157-169. 13p.

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Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation.

• Authors : Dahmen, Wolfgang; Mula, Olga

Subjects: RADIATIVE transfer equation; NEUTRON transport theory; EIGENVALUES

• Source: Foundations of Computational Mathematics; Apr2026, Vol. 26 Issue 2, p689-746, 58p

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