Abstract
Modified Adomian Decomposition Method (MADM) was used in this research to solve singular initial value problems in the second-order ordinary differential equation. In the beginning, we studied the genral equation, and we gave several illustrations for this equation. In addition, we studied some different cases of second order ordinary differential equations which we got from genral equation. From these cases, we got different types of equations such as multi singular initial value problems, like Bessel’s equation from half order and other equations as well. Using the examples under investigation, we conclude that the solution is converging towards the exact solution.
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