A two - grid, fourth order method for nonlinear fourth order boundary value problems [PDF]
, 1985 A fourth order convergent finite difference method is developed for the numerical solution of the nonlinear fourth order boundary value problem y(iv)(x) = f(x,y ...
Twizell, E H
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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Fourth-order symplectic integration [PDF]
Physica D: Nonlinear Phenomena, 1990 Die Autoren behandeln die Integration der Hamiltonschen Gleichungen unter Anwendung einer expliziten Vierter-Ordnung-Methode. Diese bewahrt die Eigenschaft, daß eine zeitliche Entwicklung eines solchen Systems eine kanonische Transformation aus den Anfangsbedingungen bis zum Endzustand erhält.
Forest, E., Ruth, R.D.
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Rearrangements and fourth order equations [PDF]
Quarterly of Applied Mathematics, 2003 The paper contains a priori estimates for the deformation of plates and beams. In particular we investigate the “worst cases” for the maximum deformation depending on where a load is placed on a beam or plate. The methods of proof use rearrangement argument.
FERONE, VINCENZO, KAWOHL B.
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Higher-order finite-difference methods for partial differential equations [PDF]
, 1997 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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Fourth-order operators on manifolds with a boundary [PDF]
Classical and Quantum Gravity, 1999 25 pages, plain Tex.
ESPOSITO G, KAMENSHCHIK A.YU
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Stability analysis of second- and fourth-order finite-difference modelling of wave propagation in orthotropic media [PDF]
, 2010 The stability of the finite-difference approximation of elastic wave propagation in orthotropic homogeneous media in the three-dimensional case is discussed.
Veres, Istvan
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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More Effective Results for Testing Oscillation of Non-Canonical Neutral Delay Differential Equations
Mathematics, 2021 In this work, we address an interesting problem in studying the oscillatory behavior of solutions of fourth-order neutral delay differential equations with a non-canonical operator.
Higinio Ramos +3 more
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A fourth-order compact solver for fractional-in-time fourth-order diffusion equations
CoRR, 2019 A fourth-order compact scheme is proposed for a fourth-order subdiffusion equation with the first Dirichlet boundary conditions. The fourth-order problem is firstly reduced into a couple of spatially second-order system and we use an averaged operator to construct a fourth-order spatial approximation. This averaged operator is compact since it involves
Jialing Zhong +3 more
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