Numerical detection and study of singularities in solutions of differential equations

DOI10.1134/S1064562416020010zbMath1352.65180MaRDI QIDQ334438

Mohammad Hasan, M. Dambrine

Publication date: 1 November 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplemethod of lineserror estimateblowup solutionlogarithmic polespolesintegral curvesdetecting singularitiesstiff and ill-conditioned problems

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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