FINITE DIFFERENCE SCHEMES FOR A CERTAIN NONLINEAR PARABOLIC SYSTEM

DOI10.1142/S0218202506001315zbMath1101.35041OpenAlexW2128899045MaRDI QIDQ5483420

Homare Morioka, Atusi Tani

Publication date: 14 August 2006

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202506001315

zbMATH Keywords

global solutionsolution of bounded variationconservation laws with artificial viscosityfinite difference schemes of implicit type

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for second-order parabolic systems (35K45)

Cites Work

• Unnamed Item
• Convergence of approximate solutions to conservation laws
• Hyperbolic systems of conservation laws II
• A class of convergent finite difference schemes for certain nonlinear parabolic systems
• Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data
• Solutions in the large for nonlinear hyperbolic systems of equations
• Global solution for an initial boundary value problem of a quasilinear hyperbolic system
• Solutions in the large for some nonlinear hyperbolic conservation laws

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