Abstract
In this paper, we propose a new approach for the finite difference approxi- mation on non-uniform mesh of the nonlinear two-point boundary value problem-(p(x)u')' = f(x, u); a <x <b; u(a) = u(b) = 0. Under a realistic assump-tion on the nonlinearity and a C3;1[a; b] regularity of the solution, we show that the approximation is O(h2) accurate in the maximum norm, making use of the Banach's fixed point principle.
| Original language | English |
|---|---|
| Pages (from-to) | 136-140 |
| Number of pages | 5 |
| Journal | Applied Mathematics E - Notes |
| Volume | 13 |
| Publication status | Published - 2013 |
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ASJC Scopus subject areas
- Applied Mathematics
Cite this
Maximum norm analysis for nonlinear two-point boundary value problems. / Boulbrachene, Messaoud; Kharousi, Fatma Al.
In: Applied Mathematics E - Notes, Vol. 13, 2013, p. 136-140.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Maximum norm analysis for nonlinear two-point boundary value problems
AU - Boulbrachene, Messaoud
AU - Kharousi, Fatma Al
PY - 2013
Y1 - 2013
N2 - In this paper, we propose a new approach for the finite difference approxi- mation on non-uniform mesh of the nonlinear two-point boundary value problem-(p(x)u')' = f(x, u); a 2) accurate in the maximum norm, making use of the Banach's fixed point principle.
AB - In this paper, we propose a new approach for the finite difference approxi- mation on non-uniform mesh of the nonlinear two-point boundary value problem-(p(x)u')' = f(x, u); a 2) accurate in the maximum norm, making use of the Banach's fixed point principle.
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UR - http://www.scopus.com/inward/citedby.url?scp=84887836000&partnerID=8YFLogxK
M3 - Article
VL - 13
SP - 136
EP - 140
JO - Applied Mathematics E - Notes
JF - Applied Mathematics E - Notes
SN - 1607-2510
ER -