Cubic spline technique for coupled non-linear parabolic equations

DOI10.1016/0898-1221(79)90040-3zbMath0421.65063OpenAlexW2033273636MaRDI QIDQ1133305

S. H. Smith

Publication date: 1979

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(79)90040-3

zbMATH Keywords

stabilityaccuracymultistep algorithmsnonlinear parabolic partial differential equationsimplicit finite difference schemesBurgers' modelsinterpolating cubic splinestwo dimensional problems

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Finite difference methods for boundary value problems involving PDEs (65N06) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• Numerical solutions of coupled Burgers' equation
• Numerical solution of ordinary differential equations
• On a quasi-linear parabolic equation occurring in aerodynamics