Geodesic
Reproducing Kernel Method for Singular Fourth Order Four-Point Boundary Value Problems
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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This paper investigates the analytical approximate solutions of singular fourth order four-point boundary value problems using reproducing kernel method (RKM). The solution obtained by using the method takes the form of a convergent series with easily computable components. However, the RKM can not be used directly to solve singular fourth order four-point boundary value problems (BVPs), since there is no method of obtaining reproducing kernel (RK) satisfying four-point boundary conditions. The aim of this paper is to fill this gap. A method for obtaining RK satisfying four-point boundary conditions is proposed so that RKM can be used to solve singular fourth order four-point BVPs. Results of numerical examples demonstrate that the method is quite accurate and efficient for singular fourth order four-point BVPs.
Classification : 34B10, 35G15, 34A25, 47B32. 
@article{BMMS_2011_34_1_a12,
     author = {Xiuying Li and Boying Wu},
     title = {Reproducing {Kernel} {Method} for {Singular} {Fourth} {Order} {Four-Point} {Boundary} {Value} {Problems}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2011},
     volume = {34},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a12/}
}
TY  - JOUR
AU  - Xiuying Li
AU  - Boying Wu
TI  - Reproducing Kernel Method for Singular Fourth Order Four-Point Boundary Value Problems
JO  - Bulletin of the Malaysian Mathematical Society
PY  - 2011
VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a12/
ID  - BMMS_2011_34_1_a12
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%A Xiuying Li
%A Boying Wu
%T Reproducing Kernel Method for Singular Fourth Order Four-Point Boundary Value Problems
%J Bulletin of the Malaysian Mathematical Society
%D 2011
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a12/
%F BMMS_2011_34_1_a12
Xiuying Li; Boying Wu. Reproducing Kernel Method for Singular Fourth Order Four-Point Boundary Value Problems. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a12/