Results 211 to 220 of about 1,679 (224)

Higher order B‐spline differential quadrature rule to approximate generalized Rosenau‐RLW equation

Mathematical Methods in the Applied Sciences, 2020
In this article, B‐spline‐based collocation method is employed to approximate the usual and modified Rosenau‐RLW nonlinear equations. The weighted extended B‐spline (WEB‐spline) is used as the modified form of B‐spline as the usual B‐splines fail to obey the Dirichlet boundary conditions.
Muhammad Mustahsan, Ayesha Kiran, Jagdev Singh, Kottakkaran Sooppy Nisar, Devendra Kumar   +4 more
openaire   +1 more source

A numerical method based on quadrature rules for ψ-fractional differential equations

Journal of Computational and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aneela Sabir, Mujeeb ur Rehman
openaire   +2 more sources

Polynomial–Sinc collocation method combined with the Legendre–Gauss quadrature rule for numerical solution of distributed order fractional differential equations

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nasrin Moshtaghi, Abbas Saadatmandi
openaire   +2 more sources

A fractional Gauss–Jacobi quadrature rule for approximating fractional integrals and derivatives

Chaos, Solitons and Fractals, 2017
We introduce an efficient algorithm for computing fractional integrals and derivatives and apply it for solving problems of the calculus of variations of fractional order.
E Babolian, Delfim F M Torres
exaly   +2 more sources

Effect of surface stresses on the dynamic behavior of bi-directional functionally graded nonlocal strain gradient nanobeams via generalized differential quadrature rule

European Journal of Mechanics - A/Solids, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dangi, Chinika, Lal, Roshan, Sukavanam, N.   +2 more
openaire   +1 more source

The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations

IMA Journal of Numerical Analysis, 1982
A formal relationship between quadrature rules and linear multistep methods for ordinary differential equations is exploited for the generation of quadrature weights. Employing the quadrature rules constructed in this way, step-by-step methods for second kind Volterra integral equations and integro-differential equations are defined and convergence and
openaire   +2 more sources

Buckling analysis of generally laminated composite plates (generalized differential quadrature rules versus Rayleigh–Ritz method)

Composite Structures, 2004
Abstract Due to the importance of buckling analysis of composite structures in various industrial applications a comparative study of buckling behavior of composite plates is presented here. Mathematical modelling developed in the present work for generally laminated plates is based on generalized differential quadrature rule (GDQR) and R–R method ...
M. Darvizeh, A. Darvizeh, R. Ansari, C.B. Sharma   +3 more
openaire   +1 more source

Numerical solution of Volterra integro-differential equations by hybrid block with quadrature rules method

2020
Summary: In this paper, the implementation of one-step hybrid block method with quadrature rules will be proposed for solving linear and non-linear first order Volterra Integro-Differential Equations (VIDEs) of the second kind. VIDEs have important applications in many branches of sciences and engineering, such as analysing rhythmic biological data can
Janodi, Mohd Razaie, Abdul Majid, Zanariah, Ismail, Fudziah, Senu, Norazak   +3 more
openaire   +1 more source

VIBRATION OF SHORT CARBON NANOTUBES USING GENERALIZED DIFFERENTIAL QUADRATURE RULE

2009
Soltani, Payam, Bahar, Payam, Anoushiravan Farshidianfar   +2 more
openaire   +1 more source

In-plane vibration analyses of curved pipes conveying fluid using the generalized differential quadrature rule

Computers and Structures, 2008
Ni Qiao
exaly