[1] S. Abbasbandy, Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method, Applied Mathematics and Computation, 145, 887-893, 2003.
[2] S. Abbasbandy, Modified Homotopy Perturbation Method for nonlinear equations and comparison with Adomian Decomposition Method, Applied Mathematics and Computation, 172, 431-438, 2006.
[3] A. Constantin and R. S. Johnson, The dynamics of waves interacting with the Equatorial undercurrent, Geophysical and Astrophysical Fluid Dynamics, 109(4), 311-358, 2015.
[4] Y. Ding, C. Sui and J. Li, An experimental investigation into combustion fitting in a direct injection marine diesel engine, Applied Sciences, 8, 2489, 2018.
[5] B. Ghanbari, A new general fourth order family of methods for finding simple roots of nonlinear equations, Journal of King Saud University, 23, 395-398, 2011.
[6] T. Gemechu and S. Thota, On new root finding algorithms for solving nonlinear transcendental equations, International Journal of Chemistry, Mathematics and Physics, 4(2), 18-24, 2020.
[7] A. S. Householder, The numerical treatment of a single nonlinear equation, McGraw-Hill, New York, 1970.
[8] N. Jaksic, Numerical algorithm for natural frequencies computation of an axially moving beam model, Meccanica, 44, 687-695, 2009.
[9] S. M. Kang, A. Naseem, W. Nazeer and A. Jan, Modification of Abbasbandy’s method and polynomiography, International Journal of Mathematical Analysis, 10, 1197-1210, 2016.
[10] A. Naseem, M. A. Rehman and Jihad Younis, A new root finding algorithm for solving real world problems and its complex dynamics via computer technology, Complexity, 2021, Article ID 6369466, 2021.
[11] A. Özyapıcı, Z. B. ¸ Sensoy and T. Karanfiller, Effective root finding methods for nonlinear equations based on multiplicative calculi, Journal of Mathematics, 2016.
[12] M. Pakdemirli and H. A. Yurtsever, Estimating roots of polynomials using perturbation theory, Applied Mathematics and Computation, 188, 2025-2028, 2007.
[13] M. Pakdemirli and G. Sarı, A comprehensive perturbation theorem for estimating magnitudes of roots of polynomials, LMS Journal of Computation and Mathematics 16,1-8, 2013.
[14] M. Pakdemirli, G. Sarı and N. Elmas, Approximate determination of polynomial roots, Applied and Computational Mathematics 15(1), 67-77, 2016.
[15] M. Pakdemirli and H. Boyacı, Generation of Root Finding Algorithms via Perturbation Theory and Some Formulas, Applied Mathematics and Computation, 184, 783-788, 2007.
[16] M. Pakdemirli, H. Boyacı and H. A. Yurtsever, Perturbative derivation and comparisons of root-finding algorithms with fourth order derivatives, Mathematical and Computational Applications, 12(2), 117-124, 2007.
[17] M. Pakdemirli, H. Boyacı and H. A. Yurtsever, A root finding algorithm with fifth order derivatives, Mathematical and Computational Applications, 13(2), 123-128, 2008.
[18] M. Pakdemirli and I. T. Dolapci, Functional root algorithms for transcendental equations, Applied and Computational Mathematics, 23(1), 99-109, 2024.
[19] S. Qureshi, H. Ramos and A. K. Soamro, A new nonlinear ninth order root finding method with error analysis and basins of attraction, Mathematics, 9, 1996, 2021.
[20] H. Susanto and N. Karjanto, Newton’s methods’ basins of attraction revisited, Applied Mathematics and Computation, 215, 1084-1090, 2009.
[21] M. Shams, N. Rafiq, N. Kausar, P. Agarwal, N. A. Mir, and Y. M. Li, On highly efficient simultaneous schemes for finding all polynomial roots, Fractals, 30(10), p.2240198, 2022.
[22] M. Shams, N. Rafiq, N. Kausar, P. Agarwal, C. Park and N. A. Mir, On iterative techniques for estimating all roots of nonlinear equation and its system with application in differential equation, Advances in Difference Equations, 2021, 1-18, 2021.
[23] M. Shams, N. Kausar, P. Agarwal, S. Jain, M. A. Salman and M. A. Shah, M.A., On family of the Caputo-type fractional numerical scheme for solving polynomial equations, Applied Mathematics in Science and Engineering, 31(1), p.2181959, 2023.
[24] M. Shams and B. Carpentieri, An efficient and stable caputo-type inverse fractional parallel scheme for solving nonlinear equations, Axioms, 13(10), p.671, 2024.
[25] C. L. Sabharwal, An iterative hybrid algorithm for roots of nonlinear equations, Engineering, 2, 80-98, 2021.
[26] M. Türkyılmazo˘ glu, A simple algorithm for high order Newton iteration formula and some new variants, Hacettepe Journal of Mathematics and Statistics, 49(1), 425-438, 2020.
[27] C. Vanhille, A note on the convergence of the irrational Halley’s iterative algorithm for solving nonlinear equations, International Journal of Computer Mathematics, 97(9), 1840-1848, 2020.
[28] C. Vanhille, An improved secant algorithm of variable order to solve nonlinear equations based on the disassociation of numerical approximations and iterative progression, Journal of Mathematics Research, 12(6), 50-65, 2020.
[29] Y. Wu and K. F. Cheung, Two parameter homotopy method for nonlinear equations, Numerical Algorithms, 53, 555-572, 2010.
