The time-domain electric

magnetic and combined field integral equations (TDEFIE

TDMFIE and TDCFIE) have been applied widely to the analysis of transient scattering from conducting bodies.The marching-on-in-time (MOT) schemes

relying on suitable spatial integral rules and implicit time-stepping method

for solving the TDCFIE and TDMFIE have been found to be stable.Unfortunately

the same is not true for the TDEFIE.In this article

the non-singular integral is evaluated using the standard Gaussian quadrature rules

and the transformations of the parametric coordinates and plane polar coordinates are employed to transform the singular integrals of TDEFIE into non-singular integrals

which can be accurately and efficiently evaluated by dividing the original domain of integration into sub-domains.Simulation results demonstrate that this approach produces rather stable and more accurate results without resort to any averaging processes.In addition

this method suits to any temporal basis functions and can be extended to high-order spatial basis functions.