On solving the initial-value problems using the differential transformation method

Ming Jyi Jang; Chieh Li Chen; Yung Chin Liy

doi:10.1016/S0096-3003(99)00137-X

On solving the initial-value problems using the differential transformation method

Ming Jyi Jang, Chieh Li Chen, Yung Chin Liy

Research output: Contribution to journal › Article › peer-review

141 Citations (Scopus)

Abstract

In this paper, initial-value problems are solved by the differential transformation method. The differential transformation method of fixed grid size is used to approximate solutions of linear and nonlinear initial-value problems. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed adaptive grid size procedure provides concise adjustment policy and raises computational efficiency of using differential transformation method.

Original language	English
Pages (from-to)	145-160
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	115
Issue number	2-3
DOIs	https://doi.org/10.1016/S0096-3003(99)00137-X
Publication status	Published - 2000 Oct 27

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1016/S0096-3003(99)00137-X

Cite this

@article{fe07476855df42329855d5ab8f8a63d2,

title = "On solving the initial-value problems using the differential transformation method",

abstract = "In this paper, initial-value problems are solved by the differential transformation method. The differential transformation method of fixed grid size is used to approximate solutions of linear and nonlinear initial-value problems. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed adaptive grid size procedure provides concise adjustment policy and raises computational efficiency of using differential transformation method.",

author = "Jang, {Ming Jyi} and Chen, {Chieh Li} and Liy, {Yung Chin}",

year = "2000",

month = oct,

day = "27",

doi = "10.1016/S0096-3003(99)00137-X",

language = "English",

volume = "115",

pages = "145--160",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "2-3",

}

TY - JOUR

T1 - On solving the initial-value problems using the differential transformation method

AU - Jang, Ming Jyi

AU - Chen, Chieh Li

AU - Liy, Yung Chin

PY - 2000/10/27

Y1 - 2000/10/27

N2 - In this paper, initial-value problems are solved by the differential transformation method. The differential transformation method of fixed grid size is used to approximate solutions of linear and nonlinear initial-value problems. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed adaptive grid size procedure provides concise adjustment policy and raises computational efficiency of using differential transformation method.

AB - In this paper, initial-value problems are solved by the differential transformation method. The differential transformation method of fixed grid size is used to approximate solutions of linear and nonlinear initial-value problems. An adaptive grid size mechanism based on the fixed grid size technique is also proposed. The proposed adaptive grid size procedure provides concise adjustment policy and raises computational efficiency of using differential transformation method.

UR - http://www.scopus.com/inward/record.url?scp=0000443213&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000443213&partnerID=8YFLogxK

U2 - 10.1016/S0096-3003(99)00137-X

DO - 10.1016/S0096-3003(99)00137-X

M3 - Article

AN - SCOPUS:0000443213

SN - 0096-3003

VL - 115

SP - 145

EP - 160

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2-3

ER -

On solving the initial-value problems using the differential transformation method

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this