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Direct Meshless Local Petrov–Galerkin (DMLPG) method: A generalized MLS approximation [PDF]
Applied Numerical Mathematics, 2013 The Meshless Local Petrov{Galerkin (MLPG) method is one of the popular meshless methods that has been used very successfully to solve several types of boundary value problems since the late nineties. In this paper, using a generalized moving least squares (GMLS) approximation, a new direct MLPG technique, called DMLPG, is presented.
Mirzaei, Davoud, Schaback, Robert
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Numerical Methods for Partial Differential Equations, Volume 39, Issue 4, Page 2998-3019, July 2023., 2023 Abstract A novel Hermite radial basis function‐based differential quadrature (H‐RBF‐DQ) method is presented in this paper based on 2D variable order time fractional advection–diffusion equations with Neumann boundary conditions. The proposed method is designed to treat accurately for derivative boundary conditions, which considerably improve the ...
Jianming Liu, Xin Kai Li, Xiuling Hu
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International Journal for Numerical Methods in Fluids, Volume 95, Issue 1, Page 143-175, January 2023., 2023 We present a new strong‐form meshless solver combined with the boundary condition‐enforced immersed boundary method for the numerical solution of the nonstationary, incompressible, viscous Navier–Stokes equations in their stream function‐vorticity (in 2D) and vector potential‐vorticity (in 3D) formulation.
George C. Bourantas +6 more
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Advances in Materials Science and Engineering, Volume 2023, Issue 1, 2023., 2023 In this article, the influence of important parameters on the size‐dependent thermoelastic behavior of functionally graded magneto‐electro‐thermo‐elastic microcylinders (FGMEE) is studied by means of modified stress couple theory and under the influence of combined mechanical‐thermal‐magnetic loads.
Sajad Golchin Khazari +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2023, Issue 1, 2023., 2023 In this article, the effects of chemical reaction and Joule heating on MHD generalized Couette flow between two vertical porous plates with induced magnetic field and Newtonian heating/cooling have been investigated. The mathematical model used for the MHD generalized Couette flow takes into account the effect of viscous dissipation.
Jumanne Mng’ang’a, Saranya Shekar
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International Journal for Numerical Methods in Engineering, Volume 123, Issue 19, Page 4518-4544, 15 October 2022., 2022 Abstract This study proposes a generalized coordinate smoothed particle hydrodynamics (GCSPH) method coupled with an overset method using the total Lagrangian formulation for solving large deformation and crack propagation problems. In GCSPH, the physical space is decomposed into multiple domains, each of which is mapped to a generalized space to avoid
Huachao Deng +4 more
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Mechanical Properties of Functionally Graded Concrete Lining for Deep Underground Structures
Advances in Civil Engineering, Volume 2022, Issue 1, 2022., 2022 With the mining depth of coal resources increasing, the thickness of traditional lining for deep mines becomes large. The bearing capacity of the outer lining cannot be fully utilized, so a new type of functionally graded lining structure (FGL) with radial Young’s modulus varying in gradient is proposed.
De-Chun Li +8 more
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Complexity, Volume 2022, Issue 1, 2022., 2022 Due to the symmetry feature in nature, fractional differential equations precisely measure and describe biological and physical processes. Multiterm time‐fractional order has been introduced to model complex processes in different physical phenomena.
Shams Ul Arifeen +3 more
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Adaptive Numerical Method for Approximation of Traffic Flow Equations
Journal of Advanced Transportation, Volume 2022, Issue 1, 2022., 2022 For a long time now, traffic equations have been considered, and different modeling has been done for it. In this article, we work on the macroscopic model, especially the most famous light model. Because these models are among the stiff and shocking problems, theoretical methods do not give good answers to these problems.
Neda Najafzadeh +3 more
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Exponentially Fitted Element‐Free Galerkin Approach for Nonlinear Singularly Perturbed Problems
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 As it is well recognized that conventional numerical schemes are inefficient in approximating the solutions of the singularly perturbed problems (SPP) in the boundary layer region, in the present work, an effort has been made to propose a robust and efficient numerical approach known as element‐free Galerkin (EFG) technique to capture these solutions ...
Jagbir Kaur, Vivek Sangwan, M. M. Bhatti
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