This article studies a technique for solving a two-dimensional Boussinesq equation
discretized using a finite difference method. It consists of an order reduction method into a …

In the present paper, numerical methods are developed to approximate the solutions of
some evolutionary nonlinear problems. The continuous problems are transformed into some …

In this paper a nonlinear coupled Schrödinger system in the presence of mixed cubic and
superlinear power laws is considered. A non standard numerical method is developed to …

In the present paper a numerical method is developed to approximate the solution of two-
dimensional Nonlinear Schrödinger equation in the presence of a singular potential. The …

In the present work, a linearized finite-difference scheme is proposed in order to
approximate the solution of some non-linear equation characterized by mixed concave and …

In this paper, we study a couple of NLS equations characterized by mixed cubic and super-
linear sub-cubic power laws. Classification as well as existence and uniqueness of the …

In the present paper, we precisely conduct a q-calculus method for the numerical solutions
of PDEs. A nonlinear Schrodinger equation is considered. Instead of the classical …

In this paper, some mixed sublinear-superlinear critical problem extending the famous
problem of Brezis–Nirenberg are analysed. The existence of solutions is discussed. A phase …

In the present work, a numerical approach is dedicated to the approximation to the solutions
of a time-independent nonlinear Schrodinger equation in a mixed case provided with …

In this paper, the influence of an additive white noise forcing term on the numerical solution
for a class of deterministic nonlinear one-dimensional Schrödinger equations with mixed …