INVARIANT DIFFERENCE SCHEMES FOR PARABOLIC EQUATIONS WITH TRANSFORMATIONS OF INDEPENDENT VARIABLES

DOI10.1142/S0218202599000075zbMath0936.65101OpenAlexW2041385477MaRDI QIDQ4270557

No author found.

Publication date: 22 November 1999

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202599000075

zbMATH Keywords

stabilityconvergenceerror boundsinvariant difference schemes

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (5)

Monotone difference schemes for equations with mixed derivatives ⋮ Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica. ⋮ Hydrodynamic models of traffic flow: drivers' behaviour and nonlinear diffusion. ⋮ Nonlinear hydrodynamic models of traffic flow in the presence of tollgates ⋮ Optimization of traffic flow conditions by minimization of quadratic functionals

Cites Work

• Adaptive zoning for singular problems in two dimensions
• Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
• Optimal moving grids for time-dependent partial differential equations
• On one-dimensional stretching functions for finite-difference calculations

This page was built for publication: INVARIANT DIFFERENCE SCHEMES FOR PARABOLIC EQUATIONS WITH TRANSFORMATIONS OF INDEPENDENT VARIABLES