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We have implemented accelerated homotopy perturbation  method (HPM) for the solution coupled Emden–Fowler equations which are nonlinear ordinary differential equation having singularity at . In this method, we have included a new form of He’s polynomial for handling the nonlinear terms present in the equation. The result obtained from the proposed method shows the reliability, effiectiveness and applicability of this method for solving such complex nonlinear coupled system.

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