Lax's difference scheme for a system of two equations in the quarter plane

DOI10.1515/APAM.2010.033zbMath1228.35143MaRDI QIDQ3006401

K. T. Joseph, G. D. Veerappa Gowda

Publication date: 14 June 2011

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

conservation lawsdifference schemesolution with given mass

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35)

Cites Work

• Explicit formula for the limit of a difference approximation
• Exact solutions for vertical drainage and redistribution in soils
• The validity of the modified equation for nonlinear shock waves
• Exact analysis of Burgers equation on semiline with flux condition at the origin
• Explicit formula for the solution of convex conservation laws with boundary condition
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Hyperbolic systems of conservation laws II
• A System of Two Conservation Laws with Flux Conditions and Small Viscosity
• Solutions in the large for nonlinear hyperbolic systems of equations
• The partial differential equation u_t + uu_x = μ_xx
• Hopf-Cole transformation to some systems of partial differential equations

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