In this paper, the differential transformation (DTM) and Adomian decomposition (ADM) methods are proposed for solving fourth order eigenvalue problem. This problem has nonstrongly regular boundary conditions. been examined p(t) = t, B 0, a 0,01 where ≠ 0 is complex valued The briefly described. An approximate solution obtained by performing seven iterations with method. same number of have made...

This paper is aiming at obtaining weak solution for a bi-nonlocal fourth order elliptic problem with Navier boundary condition. Our approach based on variational methods and critical point theory.

In the field of scalar hyperbolic equations, we take into consideration the idea of building numerical schemes using two grids: the first one to represent the solution and the second one to collocate the equation. This approach is based on the experience already gained in the approximation of boundaryvalue elliptic-type problems (see for instance [1]), as well as in the field of functional ot i...

We show that the quantum stochastic Langevin model for continuous in time measurements provides an exact formulation of the Heisenberg uncertainty error-disturbance principle. Moreover, as it was shown in the 80’s, this Markov model induces all stochastic linear and non-linear equations of the phenomenological ”quantum trajectories” such as quantum state diffusion and spontaneous localization b...

Abstract. The probability of a property on the collection of all finite relational structures is the limit as n ! 1 of the fraction of structures with n elements satisfying the property, provided the limit exists. It is known that the 0-1 law holds for every property expressible in first-order logic, i.e., the probability of every such property exists and is either 0 or 1. Moreover, the associa...

In this article we have developed third order exact finite difference method for the numerical solution of third order boundary value problems. We constructed our numerical technique without change in structure of the coefficient matrix of the second-order method in cite{Pand}. We have discussed convergence of the proposed method. Numerical experiments on model test problems approves the simply...