Results 41 to 50 of about 843 (183)

Constructing new solitary wave solutions to the strain wave model in micro-structured solids

Alexandria Engineering Journal, 2022
In the present article, the improved modified extended tanh function method is implemented to investigate the strain wave model which governs the wave propagation in micro-structured solids.
Taher A. Nofal, Islam Samir, Niveen Badra, Adel Darwish, Hamdy M. Ahmed, Ahmed H. Arnous   +5 more
doaj   +1 more source

Stochastic Galerkin and Monte Carlo Methods for Parabolic Problems: Numerical Performance of Variational Matrix‐Free Approximations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor, Nils Margenberg, Markus Bause   +2 more
wiley   +1 more source

Dynamical Behavior of Soliton Solutions and Bifurcation Analysis for the Time‐Fractional Akbota Equation With Beta Derivative

Engineering Reports, Volume 8, Issue 10, October 2026.
Exact soliton solutions of the time‐fractional Akbota equation with the beta derivative are obtained using three analytical methods. Bifurcation, stability, and phase‐plane analyses reveal stable and unstable equilibrium states, demonstrating controllable nonlinear wave dynamics with promising applications in optical fiber communication, nonlinear ...
S. M. Rayhanul Islam
wiley   +1 more source

New exact travelling solutions of the generalized Hirota equation

Partial Differential Equations in Applied Mathematics, 2021
In this paper, we solve the generalized Hirota equation with an external potential by means of the new Jacobi elliptic function rational expansion method and the exponential rational function method.
Yaning Tang, Zaijun Liang, Meiling Zhou
doaj   +1 more source

Polynomial Extrapolation Techniques for Accelerating Picard Iterations With Multigrid Solvers for Nonlinear Problems in Isogeometric Analysis

Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.
ABSTRACT Vector extrapolation techniques can be highly effective when used to accelerate the convergence of fixed‐point iterative methods, such as the Picard method. In this study, we investigate the numerical solution of nonlinear problems. Specifically, we address the nonlinear eigenvalue Bratu problem and the Monge–Ampère equation using a multigrid ...
Abdellatif Mouhssine, Ahmed Ratnani, Hassane Sadok   +2 more
wiley   +1 more source

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

Mathematical Finance, Volume 36, Issue 4, Page 804-825, October 2026.
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri, Rüdiger Frey, Verena Köck   +2 more
wiley   +1 more source

Evaluating a distance function

Comptes Rendus. Mécanique, 2023
Computing the distance function to some surface or line is a problem that occurs very frequently. There are several ways of computing a relevant approximation of this function, using for example technique originating from the approximation of Hamilton ...
Abgrall, Rémi
doaj   +1 more source

Machine‐Learning‐Enhanced Printed Vertical Magnetoresistive Sensors for Transparent, Flexible, Multimodal Interactive Magnetoelectronics

Advanced Science, Volume 13, Issue 50, 7 September 2026.
This study presents printed magnetoresistive sensors with a vertically aligned architecture that enables high optical transparency and mechanical flexibility. By integrating deep learning for the analysis of complex spatiotemporal signal patterns, the system further achieves intelligent multimodal interaction capabilities.
Rui Xu, Guannan Mu, Oleksandr V. Pylypovskyi, Qihao Zhang, Rico Illing, René Hübner, Ran He, Andreas Knüpfer, Sebastian Lehmann, Olha Bezsmertna, Kornelius Nielsch, Denys Makarov   +11 more
wiley   +1 more source

The exact solutions for the nonlinear variable-coefficient fifth-order Schrödinger equation

Results in Physics, 2022
In the paper, the nonlinear variable-coefficient fifth-order Schrödinger (NLVS) equation is researched. The NLVS equation is an integrable equation, which can be described the spreading of ultrashort pulses in an inhomogeneous optical fiber.
Cheng’ao Li, Junliang Lu
doaj   +1 more source

Key Technical Fields and Future Outlooks of Space Manipulators: A Survey

SmartBot, Volume 2, Issue 3, September 2026.
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen, Zeyuan Huang, Ying Yan, Xiaokang An, Zhikai Zhao, Jirong Lin, Xiangrong Zhao, Xianyuan Gao, Junyi Zong, Xuewen Jia, Zhipeng Yao, Jianliang Liao, Ning Ji   +12 more
wiley   +1 more source