A Note on Differential Equation with a Large Parameter

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DOI: 10.4236/am.2016.73018    2,743 Downloads   3,875 Views  Citations

ABSTRACT

We present here asymptotic solutions of equations of the type , where is a large parameter. The Bessel differential equation is considered as a typical example of the above and the solutions are provided as . Furthermore, the behaviour of the solutions as well as the stability of the Bessel ode is investigated numerically as the parameter grows indefinitely.

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Maliki, S. and Okereke, R. (2016) A Note on Differential Equation with a Large Parameter. Applied Mathematics, 7, 183-192. doi: 10.4236/am.2016.73018.

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