[HTML][HTML] Soliton solutions for time fractional ocean engineering models with Beta derivative

İ Yalçınkaya, H Ahmad, O Tasbozan, A Kurt - Journal of Ocean Engineering …, 2022 - Elsevier
In this study, the authors obtained the soliton and periodic wave solutions for time fractional
symmetric regularized long wave equation (SRLW) and Ostrovsky equation (OE) both …

One parameter optimal derivative-free family to find the multiple roots of algebraic nonlinear equations

M Kansal, AS Alshomrani, S Bhalla, R Behl, M Salimi - Mathematics, 2020 - mdpi.com
In this study, we construct the one parameter optimal derivative-free iterative family to find
the multiple roots of an algebraic nonlinear function. Many researchers developed the …

[HTML][HTML] A Steffensen type optimal eighth order multiple root finding scheme for nonlinear equations

F Zafar, S Iqbal, T Nawaz - Journal of Computational Mathematics and Data …, 2023 - Elsevier
In this study, we introduce a novel weight function-based eighth order derivative-free method
for locating repeated roots of nonlinear equations. It is a three-step Steffensen-type scheme …

Efficient non-iterative multi-point method for solving the Riemann problem

YH Toh - Nonlinear Dynamics, 2024 - Springer
In computational fluid dynamics (CFD), the Riemann problem is vital for precise fluid flow
calculations as it involves the accurate computation of the interactions between different …

Modification of Newton-Househölder Method for Determining Multiple Roots of Unknown Multiplicity of Nonlinear Equations

SA Sariman, I Hashim, F Samat, M Alshbool - Mathematics, 2021 - mdpi.com
In this study, we propose an extension of the modified Newton-Househölder methods to find
multiple roots with unknown multiplicity of nonlinear equations. With four functional …