Open AccessNumerical solution of a class of hyperbolic equations with variable coefficients
Author(s) -
Dongyin Wang Xiangguo Liu
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1606/1/012010
Subject(s) - mathematics , variable (mathematics) , hyperbolic partial differential equation , finite difference scheme , finite difference method , class (philosophy) , boundary value problem , mathematical analysis , boundary (topology) , finite difference , boundary values , scheme (mathematics) , ftcs scheme , partial differential equation , differential equation , computer science , ordinary differential equation , differential algebraic equation , artificial intelligence
The boundary value problem of hyperbolic equation with variable coefficients is solved by the finite difference method, and the numerical simulation is carried out. The simulation results show that the method is feasible and effective, and the difference scheme is stable when the Mesh ratio is as small as possible.