Non polynomial splines and weakly singular two-point boundary value problems |
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Authors: | M Sakai Riaz A Usmani |
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Institution: | (1) Department of Mathematics, Faculty of Science, Kagoshima University, 890 Kagoshima, Japan |
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Abstract: | In the present paper we shall consider an application of simple non-polynomial splines to a numerical solution of a weakly singular two-point boundary value problem:x
–
(x
y ) =f(x,y), (0<x 1) subject toy (0)=0,y(1)=c
1(![agr](/content/p1107k6042000584/xxlarge945.gif) 1) ory(0)=c
2,y(1)=c
3(0< <1). Our collocation method gives a continuously differentiable approximation and isO(h
2)-convergent. |
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Keywords: | AMS(MOS) 65L10 CR G 1 7 |
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