An Improved Finite Element Method for Solving a Kind of Nonlinear Volterra - Fredholm Integral Equation

DOI

10.2991/amms-17.2017.1How to use a DOI?

Keywords

component; nonlinear volterra-fredholm integral equations; finite element method; newton iterative method; convergence analysis

Abstract

In this paper we extend the idea of interpolated coefficients for a kind of nonlinear Volterra-Fredholm integral equation to the improved finite element method. we introduce this numerical approximation method and Newton iterative scheme for this integral equation. Then we derive convergence estimate for exact solution and approximation solution of the equation.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhiguang Xiong
AU  - Kang Deng
AU  - Qisheng Wang
PY  - 2017/11
DA  - 2017/11
TI  - An Improved Finite Element Method for Solving a Kind of Nonlinear Volterra - Fredholm Integral Equation
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
PB  - Atlantis Press
SP  - 1
EP  - 4
SN  - 1951-6851
UR  - https://doi.org/10.2991/amms-17.2017.1
DO  - 10.2991/amms-17.2017.1
ID  - Xiong2017/11
ER  -