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B-splines have been widely used to approximate solutions to differential equations.In this paper, a class of singular boundary value problems are treated by using extended cubic uniform B-spline approximations.The advantage of using an extended cubic B-spline rather the ordinary B-spline is that it introduces one additional free parameter.For a number of examples where exact solutions are known, the solutions obtained using the extended B-splines are found to be better approximations than those obtained using ordinary B-splines.
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Goh et al. (2011) studied this question.
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