Journal of Applied Sciences and Environmental Management, 2013 This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation.
M Vaghefi +3 more
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A note on a family of quadrature formulas and some applications [PDF]
Opuscula Mathematica, 2008 In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek +2 more
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Journal of Applied MathematicsThis work investigates the concept of numerically approximating fractional differential equations (FDEs) by using function average in an interval. First, the equivalent integral equation is obtained.
Chinedu Nwaigwe, Abdon Atangana
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Approximate Solutions of Time Fractional Diffusion Wave Models
Mathematics, 2019 In this paper, a wavelet based collocation method is formulated for an approximate solution of (1 + 1)- and (1 + 2)-dimensional time fractional diffusion wave equations.
Abdul Ghafoor +4 more
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Vibration of 2D FG Higher Order Plates using Differential Integral Quadrature Method [PDF]
Journal of the Egyptian Society of Tribology, 2022 This article presented a mathematical model to investigate the free vibration behavior of bi-directional (2D) functionally graded plate (FGP) using higher order shear deformation theory.
E. Assie Amr, Mohamed Salwa
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A Perturbed Milne’s Quadrature Rule for n-Times Differentiable Functions with Lp-Error Estimates
Axioms, 2023 In this work, a perturbed Milne’s quadrature rule for n-times differentiable functions with Lp-error estimates is derived. One of the most important advantages of our result is that it is verified for p-variation and Lipschitz functions. Several error estimates involving Lp-bounds are proven.
Ayman Hazaymeh +4 more
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High performance quadrature rules: how numerical integration affects a popular model of product differentiation [PDF]
SSRN Electronic Journal, 2011 Efficient, accurate, multi-dimensional, numerical integration has become an important tool for approximating the integrals which arise in modern economic models built on unobserved heterogeneity, incomplete information, and uncertainty. This paper demonstrates that polynomialbased rules out-perform number-theoretic quadrature (Monte Carlo) rules both ...
Kenneth L. Judd, Ben Skrainka
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Analysis of Axisymmetric Vibration of Functionally-Graded Circular Nano-Plate Based on the Integral Form of the Strain Gradient Model [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, it is aimed to analyze the linear vibrational behavior of functionally-graded (FG) size-dependent circular nano-plates using the integral form of the non-local strain gradient (NSG) model.
Mortaza Pourabdy +3 more
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Size Effect on the Axisymmetric Vibrational Response of Functionally Graded Circular Nano-Plate Based on the Nonlocal Stress-Driven Method [PDF]
Journal of Applied and Computational Mechanics, 2022 In this work, the axisymmetric-vibrational behavior of a size-dependent circular nano-plate with functionally graded material with different types of boundary conditions was investigated.
Mojtaba Shariati +3 more
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Numerical Solution of Fractional Order Integro-Differential Equations via Müntz Orthogonal Functions
Journal of Mathematics, 2023 In this paper, we derive a spectral collocation method for solving fractional-order integro-differential equations by using a kind of Müntz orthogonal functions that are defined on 0,1 and have simple and real roots in this interval.
S. Akhlaghi +2 more
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