A new decoupling technique for the Hermite cubic collocation equations arising from boundary value problems

DOI10.1016/S0378-4754(00)00194-4zbMath0985.65088MaRDI QIDQ1840901

Robert E. Lynch, Wayne R. Dyksen

Publication date: 8 May 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

algorithmnumerical examplesdecouplingsecond order linear ordinary differential equationHermite collocation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (10)

Cubic Hermite collocation method for solving boundary value problems with Dirichlet, Neumann, and Robin conditions ⋮ Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines ⋮ Study of generalized regularized long wave equation via septic Hermite collocation method with Crank-Nicolson and SSP-RK43 schemes to capture the various solitons ⋮ Applications of quintic Hermite collocation with time discretization to singularly perturbed problems ⋮ Analysis of a linear and non-linear model for diffusion-dispersion phenomena of pulp washing by using quintic Hermite interpolation polynomials ⋮ Septic Hermite collocation method for the numerical solution of Benjamin–Bona–Mahony–Burgers equation ⋮ An efficient scheme for numerical solution of Burgers' equation using quintic Hermite interpolating polynomials ⋮ An exploration of quintic Hermite splines to solve Burgers' equation ⋮ Numerical different methods for solving the nonlinear biochemical reaction model ⋮ Numerical simulation of time variable fractional order mobile-immobile advection-dispersion model based on an efficient hybrid numerical method with stability and convergence analysis

Uses Software

• LAPACK
• Mathematica

Cites Work

• A practical guide to splines
• The Performance of the Collocation and Galerkin Methods with Hermite Bi-Cubics
• Collocation at Gaussian Points
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