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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제35권 제1호
- 발행연도
- 2017.1
- 수록면
- 165 - 180 (16page)
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초록· 키워드
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In this study, Taylor matrix algorithm is designed for the approximate solution of linear and non-linear differential equation systems. The algorithm is essentially based on the expansion of the functions in differential equation systems to Taylor series and substituting the matrix forms of these expansions into the given equation systems. Using the Mathematica program, the matrix equations are solved and the unknown Taylor coefficients are found approximately. The presented numerical approach is discussed on samples from various linear and non-linear differential equation systems as well as stiff systems. The computational data are then compared with those of some earlier numerical or exact results. As a result, this comparison demonstrates that the proposed method is accurate and reliable.
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참고문헌 (24)
참고문헌 신청
I.H. Abdel-Halim Hassan / 2008 / Application to di erential transformation method for solving systems of di erential equations / Appl. Math. Model 32:2552~2559
J. Biazar / 2007 / He's variational iteration method for solving linear and non-linear systems of ordinary di erential equations / Appl. Math. Comput 191:287~297
B. Bulbul / 2011 / A Taylor matrix method for the solution of a two-dimensional linear hyperbolic equation / Appl. Math. Lett 24:1716~1720
M. Gulsu / 2005 / The approximate solution of high-order linear di erence equation with variable coe cients in terms of Taylor polynomials / Appl. Math. Comput 168:76~88
M. Gulsu / 2005 / A method for the approximate solution of the high-order linear di erence equations in terms of Taylor polynomials / Int. J. Comput. Math 82:629~642
J. Biazar / 2007 / He's variational iteration method for solving linear and non-linear systems of ordinary di erential equations / Appl. Math. Comput 191:287~297
B. Bulbul / 2011 / A Taylor matrix method for the solution of a two-dimensional linear hyperbolic equation / Appl. Math. Lett 24:1716~1720
M. Gulsu / 2005 / The approximate solution of high-order linear di erence equation with variable coe cients in terms of Taylor polynomials / Appl. Math. Comput 168:76~88
M. Gulsu / 2005 / A method for the approximate solution of the high-order linear di erence equations in terms of Taylor polynomials / Int. J. Comput. Math 82:629~642
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