Results 11 to 20 of about 5,022 (117)

A Composite Algorithm for Numerical Solutions of Two-Dimensional Coupled Burgers’ Equations

open access: yesJournal of Mathematics, 2021
In this study, a new composite algorithm with the help of the finite difference and the modified cubic trigonometric B-spline differential quadrature method is developed.
Vikas Kumar   +2 more
doaj   +1 more source

Crank-Nicolson-DQM based on cubic exponential B-splines for the approximation of nonlinear Sine-Gordon equation

open access: yesAin Shams Engineering Journal, 2021
In this paper, Crank-Nicolson differential quadrature method based on cubic exponential B-spline (CExpB-spline) functions is presented to approximate the 1D nonlinear hyperbolic Sine-Gordon equation (SGE).
A.H. Msmali   +2 more
doaj   +1 more source

Solving 2D-Poisson equation using modified cubic B-spline differential quadrature method

open access: yesAin Shams Engineering Journal, 2018
In this study a modified cubic B-spline differential quadrature method (MCBDQM) is used to solve the two dimensional Poisson equation. Using the cubic B-spline functions, explicit expressions of weighting coefficients for approximation of derivatives are
Ahmed M. Elsherbeny   +3 more
doaj   +1 more source

Semi-Analytical Analysis of Drug Diffusion through a Thin Membrane Using the Differential Quadrature Method

open access: yesMathematics, 2023
The primary goal of this work is to solve the problem of drug diffusion through a thin membrane using a differential quadrature approach with drastically different shape functions, such as Lagrange interpolation and discrete singular convolution (the ...
Abdelfattah Mustafa   +2 more
doaj   +1 more source

Analysis of Cylindrical Shells Using Generalized Differential Quadrature

open access: yesShock and Vibration, 1997
The analysis of cylindrical shells using an improved version of the differential quadrature method is presented. The generalized differential quadrature (GDQ) method has computational advantages over the existing differential quadrature method.
C.T. Loy, K.Y. Lam, C. Shu
doaj   +1 more source

Hybrid of differential quadrature and sub-gradients methods for solving the system of Eikonal equations

open access: yesNonlinear Engineering, 2021
Many important natural phenomena of wave propagations are modeled by Eikonal equations and a variety of new methods are needed to solve them. The differential quadrature method (DQM) is an effective numerical method for solving the system of differential
Meher Mehrollah, Rostamy Davood
doaj   +1 more source

Extended modified cubic B-spline algorithm for nonlinear Fisher’s reaction-diffusion equation

open access: yesAlexandria Engineering Journal, 2016
In this paper, a new method “extended modified cubic B-spline differential quadrature method (EMCB-DQM)” is introduced by using extended modified cubic B-spline functions as test functions in the traditional differential quadrature method.
H.S. Shukla, Mohammad Tamsir
doaj   +1 more source

An efficient numerical scheme for fractional model of telegraph equation

open access: yesAlexandria Engineering Journal, 2022
The present attempt is to design a novel approach for the numerical solution of fractional telegraph equation. The novelty of the paper exist in solving the time fractional telegraph equation with differential quadrature method based on cubic B-spline ...
M.S. Hashmi   +3 more
doaj   +1 more source

Vibration Analysis of Rectangular Plates with Free Corners Using Spline-Based Differential Quadrature

open access: yesShock and Vibration, 2004
A spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants.
Hongzhi Zhong, Qiang Guo
doaj   +1 more source

The Effect of Residual Stress on the Electromechanical Behavior of Electrostatic Microactuators

open access: yesActive and Passive Electronic Components, 2008
This work simulates the nonlinear electromechanical behavior of different electrostatic microactuators. It applies the differential quadrature method, Hamilton's principle, and Wilson-θ integration method to derive the equations of motion of ...
Ming-Hung Hsu
doaj   +1 more source

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