Abstract
This paper presents an efficient algorithm based on a monotone method for the solution of a class of nonlinear integro-differential equations of second order. This method is applied to derive two monotone sequences of upper and lower solutions which are uniformly convergent. Theorems which list the conditions for the existence of such sequences are presented. The numerical results demonstrate reliability and efficiency of the proposed algorithm.
Original language | English |
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Pages (from-to) | 3665-3673 |
Number of pages | 9 |
Journal | Nonlinear Analysis: Real World Applications |
Volume | 12 |
Issue number | 6 |
DOIs | |
Publication status | Published - Dec 2011 |
Keywords
- Lower and upper solutions
- Maximum principle
- Monotone method
- Nonlinear integro-differential equations
ASJC Scopus subject areas
- General Engineering
- Computational Mathematics
- Analysis
- Applied Mathematics
- General Economics,Econometrics and Finance