Journal Article

·2019 OPEN ACCESS

On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions

Özgür Yıldırım YTU

An International Journal of Optimization and Control Theories & Applications (IJOCTA)

Abstract

In this paper, third and fourth order of accuracy stable difference schemes for approximately solving multipoint nonlocal boundary value problems for hyperbolic equations with the Neumann boundary conditions are considered. Stability estimates for the solutions of these difference schemes are presented. Finite difference method is used to obtain numerical solutions. Numerical results of errors and CPU times are presented and are analyzed.

Keywords

Von Neumann stability analysis Mathematics Neumann boundary condition Boundary value problem Von Neumann architecture Stability (learning theory) Boundary (topology) Finite difference Finite difference method Mathematical analysis Hyperbolic partial differential equation Applied mathematics Order (exchange) Partial differential equation Pure mathematics Computer science

Subject Areas

Differential Equations and Boundary Problems ·Applied Mathematics ·Physical Sciences
Differential Equations and Numerical Methods ·Numerical Analysis ·Physical Sciences

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