Results 11 to 20 of about 1,862 (261)

Caputo-Fabrizio approach to numerical fractional derivatives

Bibechana, 2023
Fractional calculus is an essential tool in every area of science today. This work gives the quadratic interpolation-based L1-2 formula for the Caputo-Fabrizio derivative, a numerical technique for approximating the fractional derivative.
Shankar Pariyar, Jeevan Kafle
doaj   +3 more sources

Error Estimation of Euler Method for the Instationary Stokes–Biot Coupled Problem

Journal of Mathematics, 2021
In this paper, we study a finite element computational model for solving the interaction between a fluid and a poroelastic structure that couples the Stokes equations with the Biot system. Equilibrium and kinematic conditions are imposed on the interface.
Koffi Wilfrid Houédanou, Jamal Adetola
doaj   +1 more source

The Lagrange interpolation for He’s frequency formulation [PDF]

Journal of Low Frequency Noise, Vibration and Active Control, 2020
Nonlinear oscillators arise everywhere in engineering, and though there are many analytical methods available, a fast and accurate estimation of the frequency–amplitude relationship is much needed in practical applications. He’s frequency formulation meets this requirement, but the local points are chosen randomly.
openaire   +2 more sources

Differential-integral Euler–Lagrange equations [PDF]

Iranian Journal of Numerical Analysis and Optimization
We study the calculus of variations problem in the presence of a system of differential-integral (D-I) equations. In order to identify the necessary optimality conditions for this problem, we derive the so-called D-I Euler–Lagrange equations.
Mohammedd Shehata
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Rotational Constraint between Beams in 3-D Space [PDF]

Mechanical Sciences, 2018
In this paper, we develop two alternative formulations for the rotational constraint between the tangents to connected beams with large deformations in 3-D space. Such a formulation is useful for modeling bonded/welded connections between beams.
H. R. Motamedian, A. Kulachenko
doaj   +1 more source

AN INVERSE COMPLEX PROBLEMS SOLUTION FOR MULTICOMPONENT PSEUDOPARABOLIC DISTRIBUTED SYSTEMS

Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2007
Calculation algorithms of realization of gradient methods based on solution to a direct and conjugate problems in weak formulations are proposed for a series of inverse problems of multicomponent pseudoparabolic distributed systems’ parameters ...
I.V. Sergienko, V.S. Deineka
doaj   +1 more source

The Lagrange multipliers method in covariant formulations of micropolar continuum mechanics theories

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018
Linear model of micropolar elastic continuum (known also as the Cosserat continuum) is considered. Kinematics and strain measures are discussed.
Yuri N Radayev
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Finite Element Analyses of the Modified Strain Gradient Theory Based Kirchhoff Microplates

Surfaces, 2021
In this contribution, the variational problem for the Kirchhoff plate based on the modified strain gradient theory (MSGT) is derived, and the Euler-Lagrange equations governing the equation of motion are obtained.
Murat Kandaz, Hüsnü Dal
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Mixed formulation for interface problems with distributed Lagrange multiplier

Computers & Mathematics with Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniele Boffi, Lucia Gastaldi, Michele Ruggeri   +2 more
openaire   +3 more sources

Iterative Integro-Differential Techniques Based on Green’s Function for Two-Point Boundary-Value Problems of Ordinary Differential Equations

Axioms
Several iterative integro-differential formulations for two-point, second- and third-order, nonlinear, boundary-value problems of ordinary differential equations based on Green’s functions and the method of variation of parameters are presented.
Juan I. Ramos
doaj   +1 more source