An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection

zbMath0842.65057MaRDI QIDQ1907212

Helena Růžičková, Josef Dalík

Publication date: 24 July 1996

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

Full work available at URL: https://eudml.org/doc/32925

zbMATH Keywords

stabilityfinite difference methodconvection-diffusion problemmethod of characteristicserror-estimate

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items

A new framework for solving partial differential equations using semi-analytical explicit RK(N)-type integrators ⋮ Singularly perturbed problems in partial differential equations: A survey

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The finite element method with nodes moving along the characteristics for convection-diffusion equations
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• New Monotone Type Approximations for Elliptic Problems