The Present Research Contemplate Mostly Includes a Survey of Differing Time-Domain Boundary Element Methods That Can Be Utilized to Numerically Fathom the Retarded Potential Integral Equations. the Point Is to Address the Late-Time Stability, Exactness, and Computational Unpredictability Concerns In Time-Domain Surface Integral Equation Approaches. the Investigation By and Large Focuses on the Transient Electromagnetic Scattering of Three-Dimensional Flawless Electrically Conducting Bodies. Effective Algorithms Are Produced to Numerically Fathom the Time Domain Electric, Derivative Electric, Magnetic, and Combined Field Integral Equation For the Obscure Incited Surface Current.