Spline methods for the solution of fourth-order parabolic partial differential equations
type: Item
instance of: scholarly article
title: Spline methods for the solution of fourth-order parabolic partial differential equations
zbMATH Open document ID: 1082.65564
author: Yanyan Li
published in: Applied Mathematics and Computation
publication date: 2005-10-28T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 2220586
zbMATH Keywords: Fourth-order parabolic equation
zbMATH Keywords: Parametric quintic spline
zbMATH Keywords: Spline relations
zbMATH Keywords: Stability analysis
zbMATH Keywords: Vibrating beam
zbMATH Keywords: Class of methods
zbMATH Keywords: comparison of methods
zbMATH Keywords: numerical examples
zbMATH Keywords: three level method
zbMATH Keywords: finite difference
MaRDI profile type: Publication
full work available at URL: j.amc.2004.06.095
OpenAlex ID: W2024299142
cites work: Noise terms in decomposition solution series
cites work: Q5540873
cites work: Zum Differenzenverfahren bei parabolischen Differentialgleichungen
cites work: Q4766546
cites work: Convergence of Finite Difference Solutions to a Solution of the Equation of the Vibrating Rod
cites work: The Solution of the Diffusion Equation by a High Order Correct Difference Equation
cites work: A stable explicit method for the finite-difference solution of a fourth-order parabolic partial differential equation
cites work: A note on solving the fourth order parabolic equation by the age method
cites work: Some Stable Difference Approximations to a Fourth-Order Parabolic Partial Differential Equation
cites work: Q3321316
cites work: Spline function approximation for differential equations
cites work: Higher order difference formulas for a fourth order parabolic partial differential equation
cites work: Alternating direction and semi-explicit difference methods for parabolic partial differential equations
cites work: Q5536978
cites work: A direct approach to the problem of stability in the numerical solution of partial differential equations
cites work: On the solution of the fourth order parabolic equation by the decomposition method
cites work: Analytic treatment for variable coefficient fourth-order parabolic partial differential equations
DOI: 10.1016/J.AMC.2004.06.095
description: scientific article