t New scheme Theoretical solution Errors Relative errors 0.000 0.0100000917 0.0100000917 0 0 0.001 0.01000359219 0.0100035927 5.1 × 10−10 5.049486987 × 10−10 0.002 0.01000709380 0.0100070936 2.0 × 10−10 1.980184111 × 10−10 0.003 0.01001059654 0.0100105966 6.0 × 10−11 5.940531731 × 10−11 0.004 0.01001410040 0.0100141006 2.0 × 10−10 1.980170374 × 10−10 0.005 0.01001760539 0.0100176056 2.1 × 10−10 2.079171677 × 10−10 0.006 0.01002111150 0.0100211126 1.10 × 10−9 1.089086145 × 10−9 0.007 0.01002461875 0.0100246196 8.5 × 10−10 8.415636443 × 10−10 0.008 0.01002812713 0.0100281285 1.37 × 10−9 1.356397869 × 10−9 0.009 0.01003163663 0.0100316373 6.7 × 10−10 6.633455582 × 10−10 0.010 0.01003514726 0.0100351481 4.4 × 10−10 4.356284045 × 10−10 0.011 0.01003865902 0.0100386598 7.8 × 10−10 7.722476682 × 10−10 0.012 0.01004217190 0.0100421733 1.4 × 10−9 1.386080737 × 10−9 0.013 0.01004568591 0.0100456878 1.89 × 10−9 1.871202484 × 10−9 0.014 0.01004920106 0.0100492031 2.04 × 10−9 2.019703589 × 10−9 0.015 0.01005271734 0.0100527192 1.86 × 10−9 1.841488038 × 10−9 0.016 0.01005623474 0.0100562362 1.46 × 10−9 1.445464072 × 10−9 0.017 0.01005975327 0.0100597549 1.63 × 10−9 1.613765910 × 10−9 0.018 0.01006327294 0.0100632755 2.56 × 10−9 2.534494681 × 10−9 0.019 0.01006679374 0.0100667959 2.16 × 10−9 2.138472434 × 10−9 0.020 0.01007031567 0.0100703180 2.33 × 10−9 2.306770092 × 10−9