Research Article

A New Algorithm for System of Integral Equations

Table 1

The results of computational experiments.

MCerr

150000.0052.6892942.8818620.28210.1925
250000.0050.0033990.0187390.2246990.015339
350000.0052.4596032.4838350.218150.02423
450000.0050.9623270.958950.033770.1598
150000.0051.7339421.5543520.323190.17939
250000.0050.0091730.0098410.2156280.000668
350000.0051.915541.9806690.180570.064528
450000.0051.0671591.0844430.1620950.01728

is the point which solved BVP; is the quantity of samples (trajectories); is neighborhood area; is the number of equation; is exact solution at the point . MC is Monte Carlo solutions; is confidence interval; err is the difference between exact ant MC solutions .