Solution of two-point boundary-value problems using the differential transformation method

C. L. Chen, Y. C. Liu

Research output: Contribution to journalArticlepeer-review

105 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)23-35
Number of pages13
JournalJournal of Optimization Theory and Applications
Volume99
Issue number1
DOIs
Publication statusPublished - 1998 Oct

All Science Journal Classification (ASJC) codes

  • Management Science and Operations Research
  • Control and Optimization
  • Applied Mathematics

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