Numerical solution of a singularly perturbed Volterra integro-differential equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1687-1847-2014-171.pdf
Reference29 articles.
1. Angell JS, Olmstead WE: Singularly perturbed Volterra integral equations II. SIAM J. Appl. Math. 1987, 47: 1–14. 10.1137/0147001
2. Hoppensteadt FC: An algorithm for approximate solutions to weakly filtered synchronous control systems and nonlinear renewal processes. SIAM J. Appl. Math. 1983, 43: 834–843. 10.1137/0143054
3. Jordan GS: A nonlinear singularly perturbed Volterra integrodifferential equation of nonconvolution type. Proc. R. Soc. Edinb., Sect. A 1978, 80: 235–247. 10.1017/S030821050001026X
4. Lodge AS, McLeod JB, Nohel JA: A nonlinear singularly perturbed Volterra integrodifferential equation occurring in polymer rheology. Proc. R. Soc. Edinb., Sect. A 1978, 80: 99–137. 10.1017/S0308210500010167
5. Angell JS, Olmstead WE: Singular perturbation analysis of an integrodifferential equation modelling filament stretching. Z. Angew. Math. Phys. 1985, 36: 487–490. 10.1007/BF00944639
Cited by 26 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A fully discrete scheme on piecewise-equidistant mesh for singularly perturbed delay integro-differential equations;Quaestiones Mathematicae;2024-05-06
2. A numerical comparative study for the singularly perturbed nonlinear Volterra-Fredholm integro-differential equations on layer-adapted meshes;Miskolc Mathematical Notes;2024
3. Uniform convergence analysis of the BDF2 scheme on Bakhvalov-type meshes for a singularly perturbed Volterra integro-differential equation;Applied Mathematics Letters;2023-11
4. A Novel Uniform Numerical Approach to Solve a Singularly Perturbed Volterra Integro-Differential Equation;Computational Mathematics and Mathematical Physics;2023-10
5. A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations;Numerical Algorithms;2023-08-05
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