| Abstract: |
| In this study, we present a numerical method for solving singular nonlinear initial value problems (IVPs). We seek solutions of the IVP by splitting the domain of the problem into two intervals, and then solving the problem on each domain. We first obtain an approximate solution of the IVP on the interval containing the singular point. We then use a piecewise division of the second interval and an application of quasilinearization to obtain a linearized form of the nonlinear IVP. The resulting linearized differential equation is solved on the interval not containing the singularity using Chebyshev spectral collocation method. The results obtained suggest that the method gives accurate solutions that are convergent even if few collocation points are used. |
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