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===Two-step Adams–Bashforth===
Euler's method is a [[one-step method]]. A simple multistep method is the two-step Adams–Bashforth method
<math display="block"> y_{n+2} = y_{n+1} + \tfrac{3}{2} hf(t_{n+1},y_{n+1}) - \tfrac{1}{2} hf(t_n,y_n). </math>
This method needs two values, <math> y_{n+1} </math> and <math> y_n </math>, to compute the next value, <math> y_{n+2} </math>. However, the initial value problem provides only one value, <math> y_0 = 1 </math>. One possibility to resolve this issue is to use the <math> y_1 </math> computed by Euler's method as the second value. With this choice, the Adams–Bashforth method yields (rounded to four digits):
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* {{citation | first1 = Ernst | last1 = Hairer | first2 = Syvert Paul | last2 = Nørsett | first3 = Gerhard | last3 = Wanner | year = 1993 | title = Solving ordinary differential equations I: Nonstiff problems | edition = 2nd | publisher = Springer Verlag | ___location = Berlin | isbn = 978-3-540-56670-0 }}.
* {{Citation | last1=Hairer | first1=Ernst | last2=Wanner | first2=Gerhard | title=Solving ordinary differential equations II: Stiff and differential-algebraic problems | publisher=[[Springer-Verlag]] | ___location=Berlin, New York | edition=2nd | isbn=978-3-540-60452-5 | year=1996}}.
* {{citation | first1 = Arieh | last1 = Iserles | year = 1996 | title = A First Course in the Numerical Analysis of Differential Equations | publisher = Cambridge University Press | bibcode = 1996fcna.book.....I | isbn = 978-0-521-55655-2 }}.
* {{citation | first1 = W. E. | last1 = Milne | year = 1926 | title = Numerical integration of ordinary differential equations | journal = American Mathematical Monthly | volume = 33 | issue = 9 | pages = 455–460 | doi = 10.2307/2299609 | jstor = 2299609 | publisher = Mathematical Association of America }}.
* {{citation | first1 = Forest R. | last1 = Moulton | author1-link = Forest Ray Moulton | year = 1926 | title = New methods in exterior ballistics | publisher = University of Chicago Press }}.
* {{citation |author-link1= Alfio Quarteroni | first1 = Alfio | last1 = Quarteroni | first2 = Riccardo | last2 = Sacco | first3 = Fausto | last3 = Saleri | year = 2000 | title = Matematica Numerica | publisher = Springer Verlag | isbn = 978-88-470-0077-3 }}.
* {{Citation | last1=Süli | first1=Endre | last2=Mayers | first2=David | title=An Introduction to Numerical Analysis | publisher=[[Cambridge University Press]] | isbn=0-521-00794-1 | year=2003}}.
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