Existence of solutions to nonlinear advection-diffusion equation applied to Burgers' equation using Sinc methods.

DOI10.1007/S10492-014-0065-3zbMath1340.35129OpenAlexW2121546497MaRDI QIDQ464723

Kamel Al-Khaled

Publication date: 29 October 2014

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143873

zbMATH Keywords

numerical solutionsinc-Galerkin methodadvection-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• Strong compactness of approximate solutions to degenerate elliptic-hyperbolic equations with discontinuous flux function
• Nonexistence for mixed-type equations with critical exponent nonlinearity in a ball
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
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