Numerical verifications of solutions for nonlinear parabolic equations in one-space dimensional case

DOI10.1023/A:1009933805322zbMath0886.65098OpenAlexW147326773MaRDI QIDQ1362914

Mitsuhiro T. Nakao, Teruya Minamoto

Publication date: 14 April 1998

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009933805322

zbMATH Keywords

numerical examplefinite elementserror boundsfinite differencesnonlinear parabolic equationsPlum's method

Mathematics Subject Classification ID

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

Related Items (4)

Numerical verification of solutions for nonlinear hyperbolic equations ⋮ NUMERICAL VERIFICATION METHODS FOR SOLUTIONS OF ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS ⋮ Numerical existence and uniqueness proof for solutions of nonlinear hyperbolic equations ⋮ Numerical existence and uniqueness proof for solutions of semilinear parabolic equations

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