Numerical Treatment of Singularly Perturbed Two‐Point Boundary Value Problems by Using Differential Transformation Method | Zendy

Nurettin Doğan | Zendy; Vedat Suat Ertürk | Zendy; Ömer Akın | Zendy

Open Access

Numerical Treatment of Singularly Perturbed Two‐Point Boundary Value Problems by Using Differential Transformation Method

Author(s) -

Nurettin Doğan,

Vedat Suat Ertürk,

Ömer Akın

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/579431

Subject(s) - boundary value problem , mathematics , transformation (genetics) , point (geometry) , value (mathematics) , numerical analysis , boundary (topology) , method of matched asymptotic expansions , scheme (mathematics) , singular boundary method , mathematical analysis , differential (mechanical device) , boundary element method , geometry , finite element method , physics , biochemistry , chemistry , statistics , gene , thermodynamics

Differential transform method is adopted, for the first time, for solving linear singularly perturbed two-point boundary value problems. Four numerical examples are given to demonstrate the effectiveness of the present method. Results show that the numerical scheme is very effective and convenient for solving a large number of linear singularly perturbed two-point boundary value problems with high accuracy

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