Symmetry properties of a generalized Korteweg-de Vries equation and some explicit solutions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The symmetry group method is applied to a generalized Korteweg-de Vries equation and several classes of group invariant solutions for it are obtained by means of this technique. Polynomial, trigonometric, and elliptic function solutions can be calculated.
Paul Bracken
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Second Law Analysis of Unsteady MHD Viscous Flow over a Horizontal Stretching Sheet Heated Non-Uniformly in the Presence of Ohmic Heating: Utilization of Gear-Generalized Differential Quadrature Method [PDF]
Entropy, 2019 In this article, the entropy generation characteristics of a laminar unsteady MHD boundary layer flow are analysed numerically for an incompressible, electrically conducting and dissipative fluid.
Muhammad Qasim +4 more
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Irreversibility Analysis of Dissipative Fluid Flow Over A Curved Surface Stimulated by Variable Thermal Conductivity and Uniform Magnetic Field: Utilization of Generalized Differential Quadrature Method [PDF]
Entropy, 2018 The effects of variable thermal conductivity on heat transfer and entropy generation in a flow over a curved surface are investigated in the present study.
Muhammad Idrees Afridi +3 more
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Application of Bi-Directional Functionally Graded Material Model for Free Vibration Analysis of Rotating Euler-Bernoulli Nanobeams [PDF]
Mechanics of Advanced Composite Structures, 2021 In this work, mechanical vibration analysis of rotating bi-directional functionally graded Euler-Bernoulli nanobeams is investigated, which has not already been studied deeply based on the latest authors’ knowledge.
Sayed Mohammad Kazem Ohab-Yazdi +1 more
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Longitudinal Vibration of Nanobeams by Two-Phase Local/Nonlocal Elasticity, Rayleigh Theory, and Generalized Differential Quadrature Method [PDF]
Mechanics of Advanced Composite Structures, 2023 To solve a differential equation of motion via more reliable procedures, it is essential to realize their efficiency. Whether Rayleigh's theory can be a compatible platform with two-phase local/nonlocal elasticity to render more reliable results compared
Reza Nazemnezhad, Roozbeh Ashrafian
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Mathematics, 2023 This paper introduces the generalized fractional differential quadrature method, which is based on the generalized Caputo type and is used for the first time to solve nonlinear fractional differential equations.
Abdelfattah Mustafa +2 more
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Alexandria Engineering Journal, 2023 The objective of this work is to present the modified cubic B-spline differential quadrature (MCBSDQ) method for the numerical study of the generalized 2-D nonlinear Benjamin–Bona–Mahony–Burgers (BBMB) equation.
Pratibha Joshi, Maheshwar Pathak, Ji Lin
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A novel numerical approach for distributed order time fractional COVID-19 virus model [PDF]
Journal of Applied Research on Industrial Engineering, 2022 In this paper, we proposed a numerical approach to solve a distributed order time fractional COVID 19 virus model. The fractional derivatives are shown in the Caputo-Prabhakar contains generalized Mittag-Leffler Kernel.
Mohsen Khasteh +2 more
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Shock and Vibration, 2022 This study investigates how to obtain the natural frequency of functionally graded porous beams simply supported on an elastic substrate in thermal surroundings by the theory of third-order shear deformation.
Mahdi Khakpour +3 more
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Mathematics, 2023 This paper constructs highly accurate and efficient time integration methods for the solution of transient problems. The motion equations of transient problems can be described by the first-order ordinary differential equations, in which the right-hand ...
Yi Ji, Yufeng Xing
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