Invariant embedding method for the solution of coupled Burgers' equations

DOI10.1016/0022-247X(79)90270-1zbMath0419.35072OpenAlexW2027908489MaRDI QIDQ1132293

S. H. Smith

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(79)90270-1

zbMATH Keywords

numerical methodslocal stabilitylinear approximationnonlinear parabolic equationsinvariant embeddingtest examplecoupled Burgers' equations over irregular regions

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (1)

Numerical solutions of the coupled Burgers’ equation by the Galerkin quadratic B-spline finite element method

Cites Work

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• Invariant imbedding approach for the solution of the minimal surface equation
• ON THE PRINCIPLE OF INVARIANT IMBEDDING AND PROPAGATION THROUGH INHOMOGENEOUS MEDIA
• Solutions Illustrating the Decay of Dissipation Layers in Burgers' Nonlinear Diffusion Equation
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• A mathematical example displaying features of turbulence
• The partial differential equation u_t + uu_x = μ_xx

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