... Saddle point Uzawa algorithm SOR method Convergence analysis Numerical result Problems involving simultaneous linear equations encountered in all fields of science and engineering. Frame work of linear equations is very useful for modeling many physical systems. They appear in the study...

... product of tensors and implementing the product to the corresponding tensor equation associated with the sign function. Findings Convergence analysis of the proposed method has been investigated by proving that the sequence attained from the proposed scheme converges to the sign of the given tensor...

... functions as cubic B-splines in this subsection in the manner described below: Collocation method Crank–Nicolson method 1D telegraphic wave equation Cubic B-spline basis function Stability analysis Convergence analysis Funding: This research did not receive any specific grants from...

... points Operational matrix method Convergence analysis 65D30 60H20 97N50 41A15 41A63 Funding declaration: The corresponding author on the behalf of both authors declare that there is no funding for this work. In deterministic differential models, all parameters...

... differential equations Homotopy perturbation method (HPM) New iterative method (NIM) Quantum calculus Convergence analysis Nonlinear dynamics Note that (Cheung and Kac, 2002) [ m ] q = 1 − q m 1 − q = 1 + q + q 2 + ⋯ + q m − 1...

... the algorithm to control the uncertainty in these equations and demonstrate imprecise numbers with greater flexibility. Householder method Higher-order iterative methods Derivative-free method Convergence analysis Fuzzy nonlinear equations Fuzzy number In the most recent decades, a great...

... 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...

... accurate solution. Haibo Chen can be contacted at: mathchb@csu.edu.cn Rasool Shah can be contacted at: rasoolshahawkum@gmail.com Absolute value equations Iterative technique Convergence analysis Numerical outcomes 65F10 90C33 65H10 Consider the absolute value equation (AVE...

... 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...