A nonlinear iteration method for solving a two-dimensional nonlinear coupled system of parabolic and hyperbolic equations

DOI10.1016/j.cam.2009.12.028zbMath1190.65123OpenAlexW2003369987MaRDI QIDQ964957

Xia Cui, Jing-Yan Yue

Publication date: 21 April 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.028

zbMATH Keywords

stabilityconvergencefinite difference methodnumerical examplesnonlinearityiterative methodfully implicit schemecoupled system of parabolic and hyperbolic equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Second-order nonlinear hyperbolic equations (35L70) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (5)

Numerical solution to a nonlinear, one-dimensional problem of thermoelasticity with volume force and heat supply in a half-space ⋮ Numerical solution to a nonlinear, one-dimensional problem of anisotropic thermoelasticity with volume force and heat supply in a half-space: interaction of displacements ⋮ An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system ⋮ Nonlinear scheme with high accuracy for nonlinear coupled parabolic-hyperbolic system ⋮ Numerical analysis and iteration acceleration of a fully implicit scheme for nonlinear diffusion problem with second-order time evolution

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