A new algorithm based on differential transform method for solving multi-point boundary value problems
| Autor: | Song Xu, Lie-jun Xie, Cai-lian Zhou |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Work (thermodynamics)
Applied Mathematics 010103 numerical & computational mathematics Boundary knot method Singular boundary method 01 natural sciences Computer Science Applications Wiener–Hopf method 010101 applied mathematics Nonlinear system symbols.namesake Shooting method Computational Theory and Mathematics symbols Boundary value problem 0101 mathematics Algorithm Convergent series Mathematics |
| Zdroj: | International Journal of Computer Mathematics. 93:981-994 |
| ISSN: | 1029-0265 0020-7160 |
| DOI: | 10.1080/00207160.2015.1012070 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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