Research Article

Solution of Singularly Perturbed Differential-Difference Equations with Mixed Shifts Using Galerkin Method with Exponential Fitting

Table 1

The maximum absolute errors in solution of Example 1.

ε

Present method ,
0.037070620.010124870.002375650.00058480.000145653.6379e − 005
0.068761020.044070920.023421310.008658320.0021293270.00050922
0.085568300.052316090.028080390.013929380.007203600.00356728
0.087402110.054319750.030061190.015909620.008109190.00401592
0.087587210.054522320.030261470.016109950.008308560.00421487
0.087605740.054542600.030281520.016130000.008328520.00423478

Results in Kadalbajoo and Sharma [10]
0.120115660.071813960.044829820.026946120.015160930.00775036
0.187271080.106978210.059041160.307968910.015679640.00799076
0.204297290.119150280.068792320.036552360.018938490.00963304
0.206141460.120484180.069899440.037213750.019327740.00984236
0.206327460.120618880.070011670.037280890.019367320.00986365
0.206346080.120632360.070022910.037287610.019371290.00986578