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Title: Monotone methods for higher-order partial difference equations
Authors: Sheng, Q. 
Agarwal, R.P. 
Keywords: Difference equations
Iterative methods
Monotone convergence
Upper and lower solutions
Issue Date: Aug-1994
Citation: Sheng, Q.,Agarwal, R.P. (1994-08). Monotone methods for higher-order partial difference equations. Computers and Mathematics with Applications 28 (1-3) : 291-307. ScholarBank@NUS Repository.
Abstract: A nonlinear difference equation of the order n+m in two independent variables, Δn xΔm yu(x, y, 〈 u 〉), together with appropriate initial and periodic boundary conditions, is considered. Several comparison results for these problems are established. These results are then used to provide sufficient conditions for the convergence of monotone iterative methods. Numerical illustrations dwelling upon the importance of our results are also included. © 1994.
Source Title: Computers and Mathematics with Applications
ISSN: 08981221
Appears in Collections:Staff Publications

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