Numerical diagnostics of solution blowup in differential equations

DOI10.1134/S0965542517010031zbMath1367.65115MaRDI QIDQ2357123

Yanyan Li

Publication date: 19 June 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

numerical exampleCauchy problemerror estimationmethod of linessolution blowupstiff and ill-conditioned problemssingularity diagnostics

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for stiff equations (65L04) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

Related Items (2)

Numerical integration of a Cauchy problem whose solution has integer-order poles on the real axis ⋮ Reciprocal function method for Cauchy problems with first-order poles

Cites Work

• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Diagnosis of singularities of exact solutions by calculation on embedded grids
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