Add to ORKGIn the present paper, the finite difference method for the initial value problem for the first order partial differential equation with the nonlocal boundary condition is investigated. The positivity of the difference analogy of the space operator generated by this problem in the space C with maximum norm is established. The structure interpolation spaces generated by this difference operator is studied. The positivity of this difference operator in Holder spaces is established. In applications, the stability estimates for the solution of the difference scheme for the first order partial differential equation with the nonlocal boundary condition are obtained. A numerical experiment is given
AbstractA difference scheme is derived for a class of nonlocal parabolic equations with natural boun...
In the present paper, the second order of accuracy two-step difference scheme for the approximate so...
Parabolic partial differential equations with nonlocal boundary specifications feature in the mathem...
In this paper, the initial value problem for the first-order partial differential equation with the ...
Many fields of physics and technology use hyperbolic partial differential equations pde with initial...
AbstractThe article is devoted to the construction and investigation of various types of difference ...
The stable difference schemes for the approximate solution of the nonlocal boundary value problem fo...
AbstractA finite difference method for solving the multipoint elliptic–parabolic partial differentia...
In this work, we propose a model of nonlocal partial differential equation (PDE) with deviated type ...
The aim of this paper is to present finite difference method for numerical solution of singularly pe...
In the paper the convergence of a finite difference scheme for two-dimensional nonlinear elliptic eq...
We consider the numerical solution by finite difference methods of the heat equation in one space di...
In this paper we investigate one-dimensional stationary differential problems with various nonlocal ...
In this study, nonlocal boundary value Schrödinger type problem in a Hilbert space with the self-adj...
ABSTRACT. In this paper we study finite difference procedures for a class of parabolic equations wit...
AbstractA difference scheme is derived for a class of nonlocal parabolic equations with natural boun...
In the present paper, the second order of accuracy two-step difference scheme for the approximate so...
Parabolic partial differential equations with nonlocal boundary specifications feature in the mathem...
In this paper, the initial value problem for the first-order partial differential equation with the ...
Many fields of physics and technology use hyperbolic partial differential equations pde with initial...
AbstractThe article is devoted to the construction and investigation of various types of difference ...
The stable difference schemes for the approximate solution of the nonlocal boundary value problem fo...
AbstractA finite difference method for solving the multipoint elliptic–parabolic partial differentia...
In this work, we propose a model of nonlocal partial differential equation (PDE) with deviated type ...
The aim of this paper is to present finite difference method for numerical solution of singularly pe...
In the paper the convergence of a finite difference scheme for two-dimensional nonlinear elliptic eq...
We consider the numerical solution by finite difference methods of the heat equation in one space di...
In this paper we investigate one-dimensional stationary differential problems with various nonlocal ...
In this study, nonlocal boundary value Schrödinger type problem in a Hilbert space with the self-adj...
ABSTRACT. In this paper we study finite difference procedures for a class of parabolic equations wit...
AbstractA difference scheme is derived for a class of nonlocal parabolic equations with natural boun...
In the present paper, the second order of accuracy two-step difference scheme for the approximate so...
Parabolic partial differential equations with nonlocal boundary specifications feature in the mathem...