Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems

DOI10.1016/S0895-7177(01)00105-4zbMath1001.65105OpenAlexW2075308117MaRDI QIDQ1600514

M. D. Roselló, Lucas Jodar

Publication date: 13 June 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00105-4

zbMATH Keywords

Cauchy problemerror boundsquasi-linear equationsfirst order quasi-linear initial-value partial differential problemspolynomial approximate solutionstruncated power series solution

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for nonlinear first-order PDEs (35F25)

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Cites Work

• A preliminary study of the Burgers equation with symbolic computation
• Constructive polynomial approximation with \textit{a priori} error bounds for nonlinear initial value differential problems
• Applications of analysis on nilpotent groups to partial differential equations
• Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems
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