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Solution of Two-Point Boundary-Value Problems Using the Differential Transformation Method

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Abstract

This paper considers two-point boundary-value problems using the differential transformation method. An iterative procedure is proposed for both the linear and nonlinear cases. Using the proposed approach, an analytic solution of the two-point boundary-value problem, represented by an mth-order Taylor series expansion, can be obtained throughout the prescribed range.

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Authors and Affiliations

  1. Institute of Aeronautics and Astronautics, National Cheng-Kung University, Tainan, Taiwan, ROC

    C. L. Chen (Professor)

  2. Institute of Aeronautics and Astronautics, National Cheng-Kung University, Tainan, Taiwan, ROC

    Y. C. Liu (Postgraduate Student)

Authors
  1. C. L. Chen
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  2. Y. C. Liu
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Chen, C.L., Liu, Y.C. Solution of Two-Point Boundary-Value Problems Using the Differential Transformation Method. Journal of Optimization Theory and Applications 99, 23–35 (1998). https://doi.org/10.1023/A:1021791909142

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  • DOI: https://doi.org/10.1023/A:1021791909142

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