8/17/2019 ODE Using Euler-Adam Bashforth Orde 2&4

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8/17/2019 ODE Using Euler-Adam Bashforth Orde 2&4

2/5

t y(n-1) f(y,n-1) yn f(y,n)

0.1 1 1 1.1 1.2

0.2 1.1 1.2 1.23 1.43

0.3 1.23 1.43 1.3845 1.6845

0.4 1.3845 1.6845 1.565675 1.965675

0.5 1.565675 1.965675 1.7763013 2.27630130.6 1.7763013 2.2763013 2.0194627 2.6194627

0.7 2.0194627 2.6194627 2.298567 2.998567

0.8 2.298567 2.998567 2.6173789 3.4173789

0.9 2.6173789 3.4173789 2.9800574 3.8800574

1 2.9800574 3.8800574 3.3911971 4.3911971

1.1 3.3911971 4.3911971 3.8558738 4.9558738

1.2 3.8558738 4.9558738 4.379695 5.579695

1.3 4.379695 5.579695 4.9688556 6.2688556

1.4 4.9688556 6.2688556 5.6301992 7.0301992

1.5 5.6301992 7.0301992 6.3712863 7.87128631.6 6.3712863 7.8712863 7.2004692 8.8004692

1.7 7.2004692 8.8004692 8.1269753 9.8269753

1.8 8.1269753 9.8269753 9.1609981 10.960998

1.9 9.1609981 10.960998 10.313799 12.213799

2 10.313799 12.213799 11.597819 13.597819

2.1 11.597819 13.597819 13.026802 15.126802

2.2 13.026802 15.126802 14.615931 16.815931

2.3 14.615931 16.815931 16.381981 18.681981

2.4 16.381981 18.681981 18.343481 20.743481

2.5 18.343481 20.743481 20.520905 23.020905

2.6 20.520905 23.020905 22.936866 25.536866

2.7 22.936866 25.536866 25.616351 28.316351

2.8 25.616351 28.316351 28.58696 31.38696

2.9 28.58696 31.38696 31.879187 34.779187

3 31.879187 34.779187 35.526717 38.526717

8/17/2019 ODE Using Euler-Adam Bashforth Orde 2&4

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h

0.1

8/17/2019 ODE Using Euler-Adam Bashforth Orde 2&4

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t y(n-1) f(y,n-1) yn f(y,n)

0 1 1

0.4 1 1 1.5282 1.9282

0.8 1.5282 1.9282 2.4871776 3.2871776

1.2 2.4871776 3.2871776 4.0768568 5.2768568

1.6 4.0768568 5.2768568 6.7206408 8.32064082 6.7206408 8.3206408 10.896849 12.896849

8/17/2019 ODE Using Euler-Adam Bashforth Orde 2&4

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h

0.4