Strong formulation finite element method based on differential quadrature: a survey

F Tornabene, N Fantuzzi… - Applied …, 2015 - asmedigitalcollection.asme.org
A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …

Tau and Galerkin operational matrices of derivatives for treating singular and Emden–Fowler third-order-type equations

WM Abd-Elhameed, HM Ahmed - International Journal of Modern …, 2022 - World Scientific
In this paper, our target is to implement and analyze numerical algorithms for the numerical
solutions of initial and boundary third-order singular-type equations, and in particular the …

An efficient numerical technique for Lane–Emden–Fowler boundary value problems: Bernstein collocation method

J Shahni, R Singh - The European Physical Journal Plus, 2020 - Springer
In this paper, we propose an efficient numerical technique for numerical solutions of the
equivalent integral form of Emden–Fowler type boundary value problems (BVPs), which …

Meta-heuristic algorithms for solving nonlinear differential equations based on multivariate Bernstein polynomials

RM Abo-Bakr, NA Mohamed, SA Mohamed - Soft Computing, 2022 - Springer
This paper concerns with solving nonlinear boundary value problems with Dirichlet
boundary conditions by a novel approximation technique based on Bernstein polynomials …

[HTML][HTML] An algorithm of the boundary value problem based on multiscale orthogonal compact base

Y Zhang, H Sun, Y Jia, Y Lin - Applied Mathematics Letters, 2020 - Elsevier
The basis scope of this paper is to introduce a set of orthonormal basis functions and to
present a new algorithm for solving the boundary value problem by defining the ε …

Numerical solutions of high-order differential equations with polynomial coefficients using a Bernstein polynomial basis

HM Ahmed - Mediterranean Journal of Mathematics, 2023 - Springer
The paper presents a novel method that allows one to establish numerical solutions of linear
and nonlinear ordinary differential equations—with polynomial coefficients—that contain any …

Numerical solutions of Korteweg-de Vries and Korteweg-de Vries-Burger's equations in a Bernstein polynomial basis

HM Ahmed - Mediterranean Journal of Mathematics, 2019 - Springer
An algorithm for approximating numerical solution to Korteweg-de Vries (KdV) and Korteweg-
de Vries-Burger's (KdVB) equations in B-polynomials (Bernstein polynomial basis) is …

[图书][B] Laminated Composite Doubly-Curved Shell Structures: Differential and Integral Quadrature Strong Formulation Finite Element Method

F Tornabene, M Bacciocchi, N Fantuzzi, E Viola - 2016 - books.google.com
The title,“Laminated Composite Doubly-Curved Shell Structures. Differential and Integral
Quadrature. Strong Form Finite Elements” illustrates the theme treated and the prospective …

[HTML][HTML] Solving systems of high-order linear differential–difference equations via Euler matrix method

F Mirzaee, S Bimesl - Journal of the Egyptian Mathematical Society, 2015 - Elsevier
This paper contributes a new matrix method for solving systems of high-order linear
differential–difference equations with variable coefficients under given initial conditions. On …

[图书][B] Strutture a Guscio in Materiale Composito: Geometria Differenziale Teorie di Ordine Superiore

F Tornabene, N Fantuzzi, M Bacciocchi, E Viola - 2015 - books.google.com
Il titolo,“Strutture a Doppia Curvatura in Materiale Composito. Geometria Differenziale e
Teorie di Ordine Superiore”, illustra il tema trattato e la prospettiva seguita nella scrittura del …