A Higher-Order Sensitive Finite Differences Scheme Of The Cauchy Problem For 2D Linear Hyperbolic Equations With Constant Coefficients In A Class Of Discontinuous Functions

Yener, ÖyküSinsoysal, BahaddinMahir, Rasulov2020-07-012020-07-012020BUJSE 13/1 (2020), 6-121307-3818https://doi.org/10.20854/bujse.736345In this study we develop a finite difference scheme for practical calculation of the Cauchy problem for the 2D scalar advection equation with a higher accuracy order constant coefficient, encountered in different fields of hydrodynamics. For this aim, to develop an auxiliary problem having some advantages over the main problem is introduced. The proposed auxiliary problem permits us to construct a higher-order sensitive finite differences scheme.enModelling equations of hydrodynamicsWeak solution in a class of discontinuous functionsMoving networkA Higher-Order Sensitive Finite Differences Scheme Of The Cauchy Problem For 2D Linear Hyperbolic Equations With Constant Coefficients In A Class Of Discontinuous FunctionsArticle10.20854/bujse.736345