Numerical Solutions of Fractional Differential Equations by Using Laplace Transformation Method and Quadrature Rule [PDF]
Fractal and Fractional, 2021 This paper introduces an efficient numerical scheme for solving a significant class of fractional differential equations. The major contributions made in this paper apply a direct approach based on a combination of time discretization and the Laplace ...
Samaneh Soradi-Zeid +2 more
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A Time Finite Element Method Based on the Differential Quadrature Rule and Hamilton’s Variational Principle [PDF]
Applied Sciences, 2017 An accurate and efficient Differential Quadrature Time Finite Element Method (DQTFEM) was proposed in this paper to solve structural dynamic ordinary differential equations.
Yufeng Xing, Mingbo Qin, Jing Guo
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Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we use a novel technique to solve the nonlinear fractional Volterra-Fredholm integro-differential equations (FVFIDEs). To this end, the Legendre wavelets are used in conjunction with the quadrature rule for converting the problem into a ...
M. Riahi Beni
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Stress-driven Approach to Vibrational Analysis of FGM Annular Nano-plate based on First-order Shear Deformation Plate Theory [PDF]
Journal of Applied and Computational Mechanics, 2023 Vibrational behavior of small-scale functionally graded annular plate based on the first-order shear deformation theory, and non-local stress-driven model is investigated.
Mojtaba Shariati +2 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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Effective numerical methods for nonlinear singular two-point boundary value Fredholm integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 We deal with some effective numerical methods for solving a class of nonlinear singular two-point boundary value Fredholm integro-differential equations.
S. Amiri
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Journal of Mathematics, 2023 Laplace transform has been used for solving differential equations of fractional order either PDEs or ODEs. However, using the Laplace transform sometimes leads to solutions in Laplace space that are not readily invertible to the real domain by ...
null Kamran +4 more
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Quadrature Integration Techniques for Random Hyperbolic PDE Problems
Mathematics, 2021 In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also
Rafael Company +2 more
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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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