An Efficient and Accurate Hybrid Method for 1-D Wave Problem with Non-Classical Boundary Conditions
Valmir BAME , Lulezim HANELLI
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.
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[Valmir BAME , Lulezim HANELLI (2020) An Efficient and Accurate Hybrid Method for 1-D Wave Problem with Non-Classical Boundary Conditions IJIREM Vol-7 Issue-1 Page No-1-5] (ISSN 2350 - 0557). www.ijirem.org
Department of Mathematics, University "Aleksander Moisiu", Durres, Albania, email@example.com