Solution of two point boundary value problems using orthogonal collocation on finite elements

DOI10.1016/J.AMC.2005.01.049zbMath1084.65091OpenAlexW1969372436MaRDI QIDQ814727

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

Publication date: 7 February 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.01.049

zbMATH Keywords

algorithmnumerical resultsDirichlet's boundary conditionsMixed Robbin's boundary conditions

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (10)

Application of orthogonal collocation on finite elements for solving nonlinear boundary value problems ⋮ 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 ⋮ Multi-period optimization for long-term oilfield production planning ⋮ Unnamed Item ⋮ Applications of quintic Hermite collocation with time discretization to singularly perturbed problems ⋮ Unnamed Item ⋮ Analysis of a linear and non-linear model for diffusion-dispersion phenomena of pulp washing by using quintic Hermite interpolation polynomials ⋮ Modelling and simulation of a packed bed of pulp fibers using mixed collocation method

Cites Work

• Unnamed Item
• 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

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