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Abstract
In this work, an efficient algorithm based on the differential transform method is applied to solve the multi-point boundary value problems. The solution obtained by using the proposed method takes the form of a convergent series with easily computable components. Several numerical examples, both linear and nonlinear, are given to testify the validity and applicability of the proposed method. Comparisons are made between the present method and the other existing methods.
Acknowledgments
The authors are very grateful to the editor and the reviewers for their valuable comments and suggestions to improve the paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was supported by the Scientific Research Fund of Zhejiang Provincial Education Department of China [No.Y201120655], K.C. Wong Magna Fund in Ningbo University, and partially supported by the National Nature Science Foundation of China [No. 11226243].