Higher-order numerical solutions using cubic splinesU.S. National Aeronautics and Space Administration, Langley Research Center, 1976 - Differential equations, Partial - 57 pages |
Common terms and phrases
2x2 system BLASIUS EQUATION Blasius Profile boundary value problems central difference Circular Cylinder Computational Fluid Dynamics constant pressure boundary convection cubic spline collocation derivative boundary conditions diffusion equation divergence form error plot evaluate F. D. SPLINE finite difference methods finite element finite-difference calculations finite-difference method finite-difference solutions Fluid Mechanics governing equation h₂ hi+l higher-order implicit inviscid LAPLACE EQUATION linear Burgers equation M₁ M₂ mesh points model problems non-divergence non-uniform mesh numerical solution partial differential equations polynomial Potential Flow pressure boundary layer Refs Rubin SADI second derivatives second-order accurate solu SOLUTION OF BURGERS spline 2 formulation SPLINE 2 SPLINE SPLINE 2Y SPLINE 4 EXACT spline 4 results SPLINE 4X spline approximation spline integration spline interpolation spline methods spline procedures spline solutions stability limitations stagnation point TABLE termed spline third-order accurate three-point finite-difference tion tridiagonal truncation errors two-point boundary value two-step explicit uniform mesh Ө Ө