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Article
New Algorithm for the System of Nonlinear Weakly Singular Volterra Integral Equations of the Second Kind and Integro-differential Equations
Journal of Information and Computational Science
  • Huilei Han
  • Yaping Liu
  • Tao Lü
  • Xiaoming He, Missouri University of Science and Technology
Abstract

This paper presents a high accuracy quadrature method for solving the integro-differential equations and the system of weakly singular nonlinear Volterra integral equations of the second kind. These equations are important in many physical, biological and engineering models. Using Richardson extrapolation, an approximation with a higher accuracy order can be obtained. An a posteriori error estimation is provided. Some numerical results are presented to show the efficiency of our methods.

Department(s)
Mathematics and Statistics
Keywords and Phrases
  • system of nonlinear weakly singular Volterra Integral Equations,
  • extrapolation,
  • A posteriori Error Estimate,
  • Integro-Differential Equations
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2010 Binary Information Press, All rights reserved.
Publication Date
1-1-2010
Citation Information
Huilei Han, Yaping Liu, Tao Lü and Xiaoming He. "New Algorithm for the System of Nonlinear Weakly Singular Volterra Integral Equations of the Second Kind and Integro-differential Equations" Journal of Information and Computational Science (2010)
Available at: http://works.bepress.com/xiaoming-he/39/