CRANK-NICOLSON DIFFERENCE SCHEME FOR REVERSE PARABOLIC NONLOCAL PROBLEM WITH INTEGRAL AND NEUMANN BOUNDARY CONDITIONS
نویسندگان
چکیده
منابع مشابه
Modified Crank-Nicolson Difference Schemes for Nonlocal Boundary Value Problem for the Schrِdinger Equation
The nonlocal boundary value problem for Schrödinger equation in a Hilbert space is considered. The second-order of accuracy r-modified Crank-Nicolson difference schemes for the approximate solutions of this nonlocal boundary value problem are presented. The stability of these difference schemes is established. A numerical method is proposed for solving a one-dimensional nonlocal boundary value ...
متن کاملCrank-Nicolson Difference Scheme for the Generalized Rosenau-Burgers Equation
In this paper, numerical solution for the generalized Rosenau-Burgers equation is considered and Crank-Nicolson finite difference scheme is proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence and priori error estimate of the scheme are proved. Numerical results demonstrate that the scheme is efficient and reliable. Keywords—Generalized Rosenau-B...
متن کاملAdaptive Crank-nicolson Methods for Parabolic Problems
In this paper we present a posteriori error estimators for the approximate solutions of linear parabolic equations. We consider discretizations of the problem by discontinuous Galerkin method in time corresponding to variant Crank-Nicolson schemes and continuous Galerkin method in space. Especially, £nite element spaces are permitted to change at different time levels. Exploiting Crank-Nicolson...
متن کاملNonlocal Problems with Neumann Boundary Conditions
We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition, we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann conditions, all of them having a clear probab...
متن کاملPetrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains
In this paper we transfer the a priori error analysis for the discretization of parabolic optimal control problems on domains allowing for H regularity (i.e. either with smooth boundary or polygonal and convex) to a large class of nonsmooth domains. We show that a combination of two ingredients for the optimal convergence rates with respect to the spatial and the temporal discretization is requ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Apllied Mathematics
سال: 2021
ISSN: 1311-1728,1314-8060
DOI: 10.12732/ijam.v34i2.5