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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.20 No.1
- 발행연도
- 2017.1
- 수록면
- 95 - 104 (10page)
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This paper present a numerical comparison between the differential transformation method (DTM) and Adomian decomposition method (ADM) for solving nonlinear dispersive K(m,n) equation. In order to show the effectiveness of the DTM, the results obtained from the DTM is compared with available solutions obtained using the ADM and with exact solutions. It illustrates the validity and the great potential of the differential transform method in solving nonlinear partial differential equations.
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참고문헌 (17)
참고문헌 신청
G. Adomian / 1986 / Nonlinear Stochastic Oprator Equations / Academic Press
G. Adomian / 1990 / A review of the decomposition method and some recent results for non-linear equation / Math. Comput. Model 13(7):17~43
G. Adomian / 1990 / Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations / Comput. Math. Appl 19(12):9~12
G. Adomian / 1994 / Solution of physical problems by decomposition / Comput. Math. Appl 27(9/10):145~154
F. Ayaz / 2003 / On two-dimensional differential transform method / Appl. Math. Comput 143:361~374
G. Adomian / 1990 / A review of the decomposition method and some recent results for non-linear equation / Math. Comput. Model 13(7):17~43
G. Adomian / 1990 / Equality of partial solutions in the decomposition method for linear or nonlinear partial differential equations / Comput. Math. Appl 19(12):9~12
G. Adomian / 1994 / Solution of physical problems by decomposition / Comput. Math. Appl 27(9/10):145~154
F. Ayaz / 2003 / On two-dimensional differential transform method / Appl. Math. Comput 143:361~374
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