Asymptotic convergence of cubic Hermite collocation method for parabolic partial differential equation

DOI10.1016/J.AMC.2013.05.073zbMath1329.65235OpenAlexW2133806061WikidataQ115361538 ScholiaQ115361538MaRDI QIDQ902544

V. K. Kukreja, Ishfaq Ahmad Ganaie, Nabendra Parumasur, Bharti Gupta, P. Singh

Publication date: 18 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.05.073

zbMATH Keywords

error estimatesChebyshev polynomialsspectral normscollocation pointsHermite basis

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Cubic Hermite collocation method for solving boundary value problems with Dirichlet, Neumann, and Robin conditions ⋮ Unnamed Item ⋮ Analysis of a linear and non-linear model for diffusion-dispersion phenomena of pulp washing by using quintic Hermite interpolation polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• A method for solving partial differential equations via radial basis functions: application to the heat equation
• High-order compact solution of the one-dimensional heat and advection-diffusion equations
• On the solution of the non-local parabolic partial differential equations via radial basis functions
• A computationally efficient technique for solving two-point boundary value problems in porous media
• A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
• Asymptotic behaviour of the Galerkin and the finite element collocation methods for a parabolic equation
• A technique for the numerical solution of initial-value problems based on a class of Birkhoff-type interpolation method
• The one-dimensional heat equation subject to a boundary integral specification
• Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
• A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications

This page was built for publication: Asymptotic convergence of cubic Hermite collocation method for parabolic partial differential equation