Numerical method of characteristics for semilinear partial functional differential systems

DOI10.1515/JNUM.2008.001zbMath1158.65069OpenAlexW2090980584MaRDI QIDQ3519380

Wojciech Czernous

Publication date: 14 August 2008

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

Full work available at URL: https://doi.org/10.1515/jnum.2008.001

zbMATH Keywords

stabilityconvergenceconsistencynumerical experimentsmethod of characteristicsinitial boundary value problemVolterra conditionnonlinear estimates of the Perron typedifferential integral systemsfirst order partial differential systems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Partial functional-differential equations (35R10) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial value problems for nonlinear first-order PDEs (35F25) General theory of topological algebras with involution (46K05)

Related Items

Numerical method of bicharacteristics for hyperbolic partial functional differential equations

Cites Work

• On a functional differential equation arising in the theory of the distribution of wealth
• A model of proliferating cell populations with correlation of mother- daughter mitotic times
• Numerical methods for systems of nonlinear parabolic equations with time delays
• Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models
• An identification problem related to a nonlinear hyperbolic integro-differential equation
• Mixed problems for quasilinear hyperbolic systems
• Numerical methods for nonlinear integro-parabolic equations of Fredholm type

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