Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator
No Thumbnail Available
Date
2011-10-01
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
In the present paper the first and second orders of accuracy difference schemes for the numerical solution of multidimensional hyperbolic equations with nonlocal boundary and Dirichlet conditions are presented. The stability estimates for the solution of difference schemes are obtained. A method is used for solving these difference schemes in the case of one dimensional hyperbolic equation.
Description
Keywords
Mathematics, Hyperbolic equation, Nonlocal boundary value problems, Stability, Partial differential equations, Accuracy difference schemes, Difference schemes, Dirichlet condition, Hyperbolic equations, Hyperbolic problems, Multidimensional hyperbolic equations, Non-local boundary conditions, Nonlocal boundary, Nonlocal boundary value problems, Numerical solution, Second orders, Self adjoint operator, Stability estimates, Mathematical operators
Citation
Ashyralyev, A. ve Yıldırım, Ö. (2011). "Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator". Applied Mathematics and Computation, 218(3), Special Issue, 1124-1131.