A new algorithm based on differential transform method for solving multi-point boundary value problems

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.

Keywords:

• algorithm
• multi-point boundary value problem
• differential transform method

2010 AMS Subject Classifications:

• 34B10
• 34B15
• 41A58
• 65L10

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].