... interests. 25 04 2025 06 07 2025 16 09 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Itô integral Bernoulli polynomials Brownian motion Collocation points Operational matrix method Convergence analysis 65D30 60H20...

... , q-Fractional differential equations Homotopy perturbation method (HPM) New iterative method (NIM) Quantum calculus Convergence analysis Nonlinear dynamics For a significant amount of time, researchers and practitioners in various fields have been increasingly interested in fractional...

... of our proposed method. Householder method Higher-order iterative methods Derivative-free method Convergence analysis Fuzzy nonlinear equations Fuzzy number In the most recent decades, a great number of researchers have concentrated on finding solutions to the problems that have become...

... of Picard’s iteration approach, an analogous integral form for the quasilinearized DDBVPs is developed in terms of Green’s function and the convergence controller parameter. The study also covered the convergence analysis of the iterative technique. Findings Numerical illustrations are presented...

... © Emerald Publishing Limited 2024 Emerald Publishing Limited Licensed re-use rights only Absolute value equations Iterative technique Convergence analysis Numerical outcomes 65F10 90C33 65H10 Consider the absolute value equation (AVE): (1) A x − | x | = b...

... are determined by solving the obtained system. Additionally, convergence analysis and numerical stability of the suggested method are provided. Findings According to the attained results, the proposed BFMCM has more accurate results in comparison with results of other methods. The maximum absolute errors...

...-fractional boundary value problem. These matrices are successfully utilized for the solutions of psi-Caputo fractional differential equations. The purpose of these operational matrices is to make the calculations faster. Furthermore, the authors have derived the convergence analysis of the method...

... technique in conjunction with the Vieta–Lucas wavelets method. Findings The purpose of utilizing the new operational matrices is to make the method more efficient, because the operational matrices contains many zero entries. Authors have worked out on both error and convergence analysis of the present...

... of the domain, to obtain the numerical solution of Lane–Emden-type equations. Moreover, convergence analysis and an error bound for the approximate solution are discussed. Findings The proposed method removes the singular behaviour of the problems and provides the high precision numerical solution...

... these theoretical issues of PSO, most work has been done on stability analysis or convergence analysis. In these analyses, the assumption of stagnation is often adopted. Under assumption of stagnation and the initial conditions, Ozcan and Mohan (1998) derived a closed formula for x_i from which...