An Efficient and Accurate Hybrid Method for 1-D Wave Problem with Non-Classical Boundary Conditions

Valmir BAME; Lulezim HANELLI

doi:10.21276/ijirem.2020.7.1.1

Abstract

A new numerical method is proposed for the solution of 1-D initial-boundary value wave problem with non-classical boundary conditions. It combines the finite difference method with that of characteristics. The second method operates near the boundary of integration domain and it implements accurately the non-classical boundary conditions. Meantime, the difference method operates efficiently and accurately in the interior of the domain. The key element is the achieving of a satisfying balance between accuracy and efficiency. The method is implemented and tested in Matlab.

Keywords

Initial-boundary value problem, Hyperbolic differential equation, Damping conditions, Difference methods, Characteristics, Conventional order, Accuracy-efficiency balance.

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Cites this article as

V. BAME, L. H. , "An Efficient and Accurate Hybrid Method for 1-D Wave Problem with Non-Classical Boundary Conditions", International Journal of Innovative Research in Engineering & Management (IJIREM), Vol-7, Issue-1, Page No-1-5, 2020. Available from: https://doi.org/10.21276/ijirem.2020.7.1.1