Variational formulations and general boundary conditions for sixth-order boundary value problems of gradient-elastic Kirchhoff plates

2017 ◽  
Vol 61 ◽  
pp. 164-179 ◽  
Author(s):  
Jarkko Niiranen ◽  
Antti H. Niemi
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Sixth Order ◽  
General Boundary ◽  
General Boundary Conditions ◽  
Kirchhoff Plates ◽  
Variational Formulations

scholarly journals Parametric quintic spline solution for sixth order two point boundary value problems

Filomat ◽  
2012 ◽  
Vol 26 (6) ◽  
pp. 1233-1245 ◽  
Author(s):  
Arshad Khan ◽  
Talat Sultana
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Sixth Order ◽  
Point Boundary ◽  
Spline Method ◽  
Quintic Spline ◽  
Practical Usefulness ◽  
Special Case ◽  
Boundary Equations

In this paper, parametric quintic spline method is presented to solve a linear special case sixth order two point boundary value problems with two different cases of boundary conditions. The method presented in this paper has been shown to be second and fourth order accurate. Boundary equations are derived for both the cases of boundary conditions. Convergence analysis of these methods are discussed. The presented method is tested on four numerical examples of linear sixth order boundary value problems. Comparison is made to show the practical usefulness of the presented method.

scholarly journals Formulation of Problems for Stationary Dispersive Equations of Higher Orders on Bounded Intervals with General Boundary Conditions

2020 ◽  
Author(s):  
N. A. Larkin ◽  
J. Luchesi
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Dispersive Equations ◽  
Linear Boundary ◽  
General Boundary Conditions ◽  
Regular Solutions ◽  
General Linear Boundary Conditions ◽  
Formulation Of Problems

Boundary value problems for linear stationary dispersive equations of order 2l + 1, l ∈ N with general linear boundary conditions have been considered on finite intervals (0, L). The existence and uniqueness of regular solutions have been established.

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