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...Proceedings of iam v n pp solving initial value ordinary differential equations by monte carlo method muhammad naveed akhtar hanif durad asad ahmed department computer and information science dcis pakistan institute engineering applied sciences pieas atomic energy commission islamabad e mail edu pk asadahmed abstract the objective this paper is to perform a computational analysis an existing based algorithm solve problem odes firstly problems associated with have been rectified suggesting new elaborate then has different types including simple explicit coupled implicit system first order furthermore same also implemented known physical systems such as van der pol equation sir epidemic model limitations proposed identified applying lipschitz continuity check for exemplary ode finally it demonstrated that still very difficult propose computationally efficient considerable accuracy using keywords integration implicate lorenz ams subject classification c m introduction play prominent role ...