A new algorithm for solving nonlinear parabolic equations using extreme learning machine method with parameter retention-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

A new algorithm for solving nonlinear parabolic equations using extreme learning machine method with parameter retention

Published:2024-02-01 Issue:2 Volume:139 Page:
ISSN:2190-5444
Container-title:The European Physical Journal Plus
language:en
Short-container-title:Eur. Phys. J. Plus

Author:

He Jilong^ORCID,Zheng Zhoushun

Funder

National Natural Science Foundation of China

the Postgraduate Scientific Research Innovation Project of Hunan Province

Fundamental Research Funds for the Central Universities of Central South University

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1140/epjp/s13360-024-04897-7.pdf

Reference13 articles.

1. M. Raissi, P. Perdikaris, G.E. Karniadakis, Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations. J. Comput. Phys. 378, 686–707 (2019)

2. G.-B. Huang, Q.-Y. Zhu, C.-K. Siew, Extreme learning machine: theory and applications. Neurocomputing 70(1–3), 489–501 (2006)

3. F. Calabrò, G. Fabiani, C. Siettos, Extreme learning machine collocation for the numerical solution of elliptic PDEs with sharp gradients. Comput. Methods Appl. Mech. Eng. 387, 114188 (2021)

4. S. Dong, Z. Li, Local extreme learning machines and domain decomposition for solving linear and nonlinear partial differential equations. Comput. Methods Appl. Mech. Eng. 387, 114129 (2021)

5. S. Dong, Z. Li, A modified batch intrinsic plasticity method for pre-training the random coefficients of extreme learning machines. J. Comput. Phys. 445, 110585 (2021)

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3