Monotone iterates for systems of nonlinear integro-elliptic equations

Authors

  • Igor Boglaev Massey University

DOI:

https://doi.org/10.21914/anziamj.v58i0.11728

Keywords:

integro-elliptic equations, monotone iterates, initial upper and lower solutions

Abstract

This paper deals with numerically solving systems of nonlinear integro-elliptic equations. We give a monotone iterative method, based on the method of upper and lower solutions. The construction of the initial upper and lower solution is discussed, and numerical experiments are presented. References
  • I. Boglaev, Numerical solving systems of nonlinear integro-parabolic equations of Volterra type. J. Integral Equ. Appl., 28(3):309–342, 2016. doi:10.1216/JIE-2016-28-3-1
  • C. V. Pao, Nonlinear Parabolic and Elliptic Equations. Plenum Press, New York, 1992.
  • C. V. Pao, Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems. Appl. Math. Comput., 186:1624–1642, 2007. doi:10.1016/j.amc.2006.08.074
  • A. Samarskii, The Theory of Difference Schemes. Marcel Dekker, New York, 2001.
  • A. H. Stroud, Approximate Calculation of Multiple Integrals. Prentice–Hall, Englewood Cliffs, New Jersey, 1971.

Author Biography

Igor Boglaev, Massey University

Institute of Fundamental Sciences

Published

2017-07-16

Issue

Section

Proceedings Computational Techniques and Applications Conference