Results 11 to 20 of about 136 (126)
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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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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Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method
Geofluids, Volume 2021, Issue 1, 2021., 2021 It is a quite challenging subject to efficiently perform fracture and fatigue analyses for complex structures with cracks in engineering. To precisely and efficiently study crack problems in practical engineering, an iterative method is developed in this study.
Longgang Tian, Ziling Cheng, Feng Xiong
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Advances in Civil Engineering, Volume 2021, Issue 1, 2021., 2021 In this article, a new sinusoidal shear deformation theory was developed for static bending analysis of functionally graded plates resting on elastic foundations. The proposed theory used an undefined integral term to reduce the number of the unknown to four without any shear correction factors.
Pham Minh Phuc +2 more
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Numerical Investigation on Improving the Computational Efficiency of the Material Point Method
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Based on the basic theory of the material point method (MPM), the factors affecting the computational efficiency are analyzed and discussed, and the problem of improving calculation efficiency is studied. This paper introduces a mirror reflection boundary condition to the MPM to solve axisymmetric problems; to improve the computational efficiency of ...
Jingxin Ma +5 more
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Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, a new numerical method named Barycentric Lagrange interpolation‐based differential quadrature method is implemented to get numerical solution of 1D and 2D coupled nonlinear Schrödinger equations. In the present study, spatial discretization is done with the aid of Barycentric Lagrange interpolation basis function.
Varun Joshi +5 more
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The Numerical Solution of Fractional Black‐Scholes‐Schrodinger Equation Using the RBFs Method
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, radial basis functions (RBFs) method was used to solve a fractional Black‐Scholes‐Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process. The approximation of time fractional derivative is interpreted in the Caputo’s sense by a simple quadrature formula ...
Naravadee Nualsaard +3 more
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Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Friction stir welding (FSW) is a favorable welding technology for aluminum alloys. The FSW process involves complex heat and mass transfer. Explicit meshless particle methods are currently popular methods for simulating the process, but they require expensive computational cost.
Yihua Xiao, Hecheng Wu, Nunzio Salerno
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