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|Title:||Monotone Methods for Solving a Boundary Value Problem of Second Order Discrete System|
|Keywords:||Boundary value problem of second order discrete system|
Monotone iterative method
Upper and lower solutions
|Citation:||Wang, Y.-M.,Agarwal, R.P. (1999). Monotone Methods for Solving a Boundary Value Problem of Second Order Discrete System. Mathematical Problems in Engineering 5 (4) : 291-315. ScholarBank@NUS Repository.|
|Abstract:||A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical results are given.|
|Source Title:||Mathematical Problems in Engineering|
|Appears in Collections:||Staff Publications|
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