Spline finite difference methods for singular two point boundary value problems |
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Authors: | S R K Iyengar Pragya Jain |
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Institution: | (1) Department of Mathematics, Indian Institute of Technology, Hauz Khas, 110016 New Delhi, India |
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Abstract: | Summary In this paper we discuss the construction of a spline function for a class of singular two-point boundary value problemx
–(x
u)=f (x, u),u(0)=A,u(1)=B, 0<<1 or =1,2. The boundary conditions may also be of the formu(0)=0,u(1)=B. Three point finite difference methods, using the above splines, are obtained for the solution of the boundary value problem. These methods are of second order and are illustrated by four numerical examples. |
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Keywords: | AMS(MOS): 65L 10 CR: Gl 7 |
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