Results 51 to 60 of about 2,893 (187)

Numerical approximation of time-fractional Burgers-type equation

Advances in Difference Equations, 2020
In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and local discontinuous Galerkin ...
Miaomiao Yang
doaj   +1 more source

Transient Conjugate MHD Flow With Variable Thermal Conductivity: A CFD to ANN Study

Engineering Reports, Volume 8, Issue 8, August 2026.
A star‐shaped obstacle inside a hexagonal cavity alters fluid flow and heat transfer under magnetic fields. Simulations and ANN predictions reveal that magnetic strength and material properties control cooling efficiency, supporting smarter designs for real‐time thermal management.
M. A. Forhad, A. K. Azad, M. Sakib Hasan, Md. Ibrahim, Aminur Rahman Khan, M. M. Billah   +5 more
wiley   +1 more source

Evaluation of coupled finite element/meshfree method for a robust full-scale crashworthiness simulation of railway vehicles

Advances in Mechanical Engineering, 2016
The crashworthiness of a railway vehicle relates to its passive safety performance. Due to mesh distortion and difficulty in controlling the hourglass energy, conventional finite element methods face great challenges in crashworthiness simulation of ...
Zhao Tang, Feng Jia Liu, Shi Hui Guo, Jian Chang, Jian Jun Zhang   +4 more
doaj   +1 more source

Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid

International Journal for Numerical Methods in Fluids, Volume 98, Issue 8, Page 969-979, August 2026.
This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
wiley   +1 more source

Recent developments in stabilized Galerkin and collocation meshfree methods

Computer Assisted Methods in Engineering and Science, 2017
Meshfree methods have been developed based on Galerkin type weak formulation and strong formulation with collocation. Galerkin type formulation in conjunction with the compactly supported approximation functions and polynomial reproducibility yields ...
Jiun-Shyan Chen, Sheng-Wei Chi, Hsin-Yun Hu   +2 more
doaj  

Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems

Abstract and Applied Analysis, 2014
The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh.
Ailing Zhu, Qiang Xu, Ziwen Jiang
doaj   +1 more source

Comparison between variational iteration method and Gegenbauer–Galerkin method for solving two dimensional nonlinear Volterra integral equations of the second kind [PDF]

AIP Advances
This paper intends to introduce two numerical techniques—the variational iteration method and the Gegenbauer–Galerkin method—for obtaining solutions to two dimensional nonlinear Volterra integral equations of the second kind.
M. H. Ahmed
doaj   +1 more source

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13148-13175, August 2026.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source

Two modified shifted Chebyshev–Galerkin operational matrix methods for even-order partial boundary value problems

Boundary Value Problems
This paper presents two operational matrices. The first one represents integer-order derivatives of the modified shifted Chebyshev polynomials of the second kind.
M. Abdelhakem, Dina Abdelhamied, M. El-Kady, Y. H. Youssri   +3 more
doaj   +1 more source

Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12360-12378, 30 July 2026.
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang, Calogero Vetro, Tianqing An   +2 more
wiley   +1 more source