Finite-difference method for a nonlocal boundary value problem for a third-order pseudoparabolic equation

被引：12

作者：

Beshtokov, M. Kh. ^{[1
]}

机构：

[1] Kabardino Balkar State Univ, Nalchik, Russia

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 09期

关键词：

Nonlocal Boundary; Energy Inequality; Riemann Function; Nonlocal Condition; Nonlocal Problem;

D O I：

10.1134/S0012266113090085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlocal boundary value problem for a third-order pseudoparabolic equation with variable coefficients. For its solution, in the differential and finite-difference settings, we derive a priori estimates that imply the stability of the solution with respect to the initial data and the right-hand side on a layer as well as the convergence of the solution of the difference problem to that of the differential problem.

引用

页码：1134 / 1141

页数：8

共 50 条

[1] Finite-difference method for a nonlocal boundary value problem for a third-order pseudoparabolic equation
M. Kh. Beshtokov
Differential Equations, 2013, 49 : 1134 - 1141
[2] The Finite-Difference Method for a Third-Order Pseudoparabolic Equation with Integral Conditions
Jachimaviciene, J.
DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS (DETA 2009), 2009, : 49 - 58
[3] Finite-difference method for a system of third-order boundary-value problems
Noor, MA
Al-Said, EA
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2002, 112 (03) : 627 - 637
[4] Finite-Difference Method for a System of Third-Order Boundary-Value Problems
M. A. Noor
E.A. Al-Said
Journal of Optimization Theory and Applications, 2002, 112 : 627 - 637
[5] Fourth-order finite-difference method for third-order boundary-value problems
Salama, AA
Mansour, AA
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2005, 47 (04) : 383 - 401
[6] On One Solution of a Periodic Boundary-Value Problem for a Third-Order Pseudoparabolic Equation
Orumbayeva, N. T.
Keldibekova, A. B.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (09) : 1864 - 1872
[7] Finite-difference method for solving a multidimensional pseudoparabolic equation with boundary conditions of the third kind
Beshtokov, M. Kh
VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2022, 32 (04): : 502 - 527
[8] On One Solution of a Periodic Boundary-Value Problem for a Third-Order Pseudoparabolic Equation
N. T. Orumbayeva
A. B. Keldibekova
Lobachevskii Journal of Mathematics, 2020, 41 : 1864 - 1872
[9] A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation
M. Kh. Beshtokov
Computational Mathematics and Mathematical Physics, 2014, 54 : 1441 - 1458
[10] A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation
Beshtokov, M. Kh
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (09) : 1441 - 1458

← 1 2 3 4 5 →