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**Two-point boundary value problems by the extended Adomian decomposition method.**
*(English)*
Zbl 1145.65049

Summary: We present an efficient numerical algorithm for solving two-point linear and nonlinear boundary value problems, which is based on the Adomian decomposition method (ADM), namely, the extended ADM. The proposed method is examined by comparing the results with other methods. Numerical results show that the proposed method is much more efficient and accurate than other methods with less computational work.

### MSC:

65L10 | Numerical solution of boundary value problems involving ordinary differential equations |

34B05 | Linear boundary value problems for ordinary differential equations |

34B15 | Nonlinear boundary value problems for ordinary differential equations |

### Keywords:

two-point boundary value problem; Adomian decomposition method; shooting methods; comparison of methods; numerical results
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\textit{B. Jang}, J. Comput. Appl. Math. 219, No. 1, 253--262 (2008; Zbl 1145.65049)

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### References:

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