In this paper, Searching least value (SLV) method is employed for the numerical solution of non-linear first order initial value problem. The argument is based on the reproducing kernel space \(W₂²[0,1]\). For this a representation of the exact solution in the reproducing kernel space is constructed. The results show that the present method is an applicable technique and approximates the solution very well.
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Rehman et al. (2011) studied this question.
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