Application of orthogonal collocation on finite elements for solving nonlinear boundary value problems

DOI10.1016/J.AMC.2005.12.036zbMath1102.65103OpenAlexW2029808140MaRDI QIDQ849813

Shelly Arora, V. K. Kukreja, S. S. Dhaliwal

Publication date: 31 October 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2005.12.036

zbMATH Keywords

algorithmstabilityconvergencenumerical resultsfinite elementsorthogonal collocation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (6)

A computationally efficient technique for solving two-point boundary value problems in porous media ⋮ Computationally efficient technique for weight functions and effect of orthogonal polynomials on the average ⋮ A new approach to solve a set of nonlinear split boundary value problems ⋮ Applications of quintic Hermite collocation with time discretization to singularly perturbed problems ⋮ Micromixing effects on the dynamic behavior of continuous free-radical solution polymerization tank reactors ⋮ Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation

Cites Work

• Solution of two point boundary value problems using orthogonal collocation on finite elements
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• A collocation/quadrature-based Sturm-Liouville problem solver
• Asymptotic behaviour of the Galerkin and the finite element collocation methods for a parabolic equation
• Computation of invariant tori by orthogonal collocation

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