Results 31 to 40 of about 1,146 (216)

A Novel Numerical Treatment to One Dimensional Heat and Wave Equations with Second Order Accuracy [PDF]

Computational Algorithms and Numerical Dimensions
Numerical solutions to partial differential equations (PDEs) play a vital role in modeling complex physical phenomena across scientific computing and engineering disciplines.
Muhammad Abid, Muhammad Shahid
doaj   +1 more source

Propagation of long internal waves in density stratified ocean for the (2+1)-dimensional nonlinear Nizhnik-Novikov-Vesselov dynamical equation

Results in Physics, 2020
Our aim in this article to constructed the new solitary wave solutions of (2+1)-dim nonlinear Nizhnik-Novikov-Vesselov equation by novel approach which is extended modified rational expansion method.
Mujahid Iqbal, Aly R. Seadawy, Omar H. Khalil, Dianchen Lu   +3 more
doaj   +1 more source

Transitions From Monotonicity to Chaos in Gas Mixture Dynamics in Pipeline Networks

PRX Energy, 2023
The blending of hydrogen generated using clean energy into natural gas pipeline networks is proposed in order to utilize existing energy systems for their planned lifetimes while reducing their reliance on fossil fuels.
Luke S. Baker, Saif R. Kazi, Anatoly Zlotnik   +2 more
doaj   +1 more source

New solitary wave solutions of (3 + 1)-dimensional nonlinear extended Zakharov-Kuznetsov and modified KdV-Zakharov-Kuznetsov equations and their applications

Results in Physics, 2017
In this paper, new exact solitary wave, soliton and elliptic function solutions are constructed in various forms of three dimensional nonlinear partial differential equations (PDEs) in mathematical physics by utilizing modified extended direct algebraic ...
Dianchen Lu, A.R. Seadawy, M. Arshad, Jun Wang   +3 more
doaj   +1 more source

New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod

Results in Physics, 2018
This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
doaj   +1 more source

Construction of diverse water wave structures for coupled nonlinear fractional Drinfel’d-Sokolov-Wilson model with Beta derivative and its modulus instability

Scientific Reports, 2023
This paper aims to analyze the coupled nonlinear fractional Drinfel’d-Sokolov-Wilson (FDSW) model with beta derivative. The nonlinear FDSW equation plays an important role in describing dispersive water wave structures in mathematical physics and ...
Muhammad Shakeel, Salman A. AlQahtani, Muhammad Junaid U Rehman, Grzegorz Kudra, Jan Awrejcewicz, Abdulaziz M. Alawwad, Abdullilah A. Alotaibi, Mejdl Safran   +7 more
doaj   +1 more source

Solar and Wind Quantity 24 h—Series Prediction Using PDE-Modular Models Gradually Developed according to Spatial Pattern Similarity

Energies, 2023
The design and implementation of efficient photovoltaic (PV) plants and wind farms require a precise analysis and definition of specifics in the region of interest. Reliable Artificial Intelligence (AI) models can recognize long-term spatial and temporal
Ladislav Zjavka
doaj   +1 more source

New applications of the fractional derivative to extract abundant soliton solutions of the fractional order PDEs in mathematics physics

Partial Differential Equations in Applied Mathematics
The motive of this research work is to unravel the mysteries of nature through fractional-order partial differential equations (PDEs). Here, we focus on two important fractional order nonlinear PDEs, namely the fractional order (4+1)-dimensional Fokas ...
M. Ashik Iqbal, M. Mamun Miah, H. M. Shahadat Ali, Nur Hasan Mahmud Shahen, Ahmed Deifalla   +4 more
doaj   +1 more source

Data‐Efficient Electromagnetic Surrogate Solver Through Dissipative Relaxation Transfer Learning

Advanced Optical Materials, EarlyView.
Dissipative relaxation transfer learning (DIRTL) enables data‐efficient training of electromagnetic surrogate solvers by pretraining data generated with artificial material loss before fine‐tuning on target lossless data. The framework suppresses resonant outlier effects during early training, allowing effective adaptation to high‐amplitude resonances ...
Sunghyun Nam, Chan Y. Park, Min Seok Jang   +2 more
wiley   +1 more source

Biodegradable Zn‐Based Implants: Progress, Challenges, and Pathways toward Clinical Translation

Advanced Science, EarlyView.
Exploring biodegradable Zn‐based implants offers a promising pathway to next‐generation biomedical devices with balanced degradation and biocompatibility. A comprehensive overview of biodegradable Zn‐based implants, covering their biological significance, material design principles, and advanced engineering strategies is provided.
Panfeng Zhao, Zhengquan Wang, Hui Yang, Xiyuan Zhang, Hanyuan Liu, Xiaotong Lu, Xiaocheng Li, Yanyan Liu, Xi Zhao, Wenhao Zhou, Yufeng Zheng   +10 more
wiley   +1 more source