In this paper, we numerically simulated a glass-based all-optical 1×N power splitter with eleven different configurations using soliton breakup in a nonlinear medium. It is shown that in addition to reconfigurability of the proposed splitter, its power splitting ratio is tunable up to some extent values too. Nonlinear semivectorial iterative finite difference beam propagation method (IFD-...

In this paper, we study a class of weakly nonlinear complementarity problems arising from the discretization of free boundary problems. By reformulating the complementarity problems as implicit fixed-point equations based on splitting of the system matrices, we propose a class of modulus-based matrix splitting algorithms. We show their convergence by assuming that the system matrix is positive ...

It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.

Over the years, many methods for solving the linear complementarity problem (LCP) have been developed. Most of these methods have their origin in solving a system of linear equations. In particular, much attention has recently been paid on the class of iterative methods called the splitting method, which is an extension of the matrix splitting method for solving a system of linear equations suc...

In this article, a hybrid method that combines Aboodh transform, variational iteration method, and the homotopyperturbation is presented for approximate solution of important partial differential equations describe wave like in one, two three dimensions. The suggested utilizes only initial conditions to providean analytical solution, contrast separation variables, also requires boundary conditi...

In this paper, we introduce and study a mixed variational inclusion problem involving infinite family of fuzzy mappings. An iterative algorithm is constructed for solving a mixed variational inclusion problem involving infinite family of fuzzy mappings and the convergence of iterative sequences generated by the proposed algorithm is proved. Some illustrative examples are also given.

In this paper, the concept of matrix splitting is introduced to solve a large sparse ill-posed linear system via Tikhonov?s regularization. regularization process, we convert well-posed system. The convergence such discussed by using different types splittings. Comparison analysis both systems are studied operating certain weak Further, have extended double [Song J. and Song Y, Calcolo 48(3), 2...

In this paper, we contribute higher order operator-splitting method improved by Zassenhaus product. We apply the contribution to classical and iterative splitting methods. The underlying analysis to obtain higher order operator-splitting methods is presented. While applying the methods to partial differential equations, the benefits of balancing time and spatial scales are discussed to accelera...