New Approach for Calculate Exponential Integral Function

This manuscript presents a new approach to accurately calculating exponential integral function that arises in many applications such as contamination, groundwater flow, hydrological problems and mathematical physics. The calculation is obtained with easily computed components without any restrictive assumptions A detailed comparison of the execution times performed. calculated results by suggested are better faster accuracy convergence than those other methods. Error analysis calculations studied using absolute error high achieved. out-performs all previous methods used calculate this decision based on getting results.