A finite differences method for a two-dimensional nonlinear hyperbolic equation in a class of discontinuous functions
DOI10.1016/S0096-3003(02)00225-4zbMath1027.65115OpenAlexW2015736423MaRDI QIDQ1406246
Bahaddin Sinsoysal, Erhan Coskun, Mahir A. Rasulov
Publication date: 9 September 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00225-4
algorithmfinite difference methodnumerical experimentsshock wavesdiscontinuous datanonlinear first-order wave equation
Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs with low regular coefficients and/or low regular data (35R05)
Cites Work
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- Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
- Nonlinear partial differential equations in engineering. Vol. II
- An ordering principle and generalized solutions of certain quasi-linear partial differential equations
- Stability theory of difference schemes and iterative methods
- The Formation and Decay of Shock Waves
- On nonlinear partial differential equations with two independent variables
- Nonlinear Hyperbolic Differential Equations for Functions of Two Independent Variables
- On the solution of nonlinear hyperbolic differential equations by finite differences
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
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