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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.21 No.1
- 발행연도
- 2017.3
- 수록면
- 17 - 28 (12page)
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초록· 키워드
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A combined form of the modified Laplace Adomian decomposition method (LADM) is developed for the analytic treatment of the nonlinear Volterra-Fredholm integro differential equations. This method is effectively used to handle nonlinear integro differential equations of the first and the second kind. Finally, some examples will be examined to support the proposed analysis.
목차
ABSTRACT
1. INTRODUCTION
2. THE MODIFIED LAPLACE ADOMIAN DECOMPOSITION METHOD
3. LEIBNITZ RULE FOR DIFFERENTIATION OF INTEGRALS
4. CONVERSION VFIDE FIRST KIND TO VFIDE OF THE SECOND KIND
5. EXAMPLES
6. CONCLUSIONS
REFERENCES
참고문헌 (19)
참고문헌 신청
[단행본] - A.M. Wazwaz / 2011 / Linear and nonlinear integral equations methods and applications / Springer
[단행본] - A. M. Jerri / 1999 / Introduction to integral equations with applications / Wiley
[학술지(정기간행물)] - A. A. Hamoud / 2016 / On the numerical solution of nonlinear Volterra-Fredholm integral equations by variational iteration method / International Journal of Advanced Scientific and Technical Research 3 : 45 ~ 51
[학술지(정기간행물)] - A.M. Wazwaz / 2010 / The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro differential equations / Applied Mathematics and Computation 216 : 1304 ~ 1309
[학술지(정기간행물)] - A.M. Wazwaz / 2005 / The modified decomposition method for analytic treatment of nonlinear integral equations and systems of nonlinear integral equations / International Journal of Computer Mathematics 82 (9) : 1107 ~ 1115
[단행본] - A. M. Jerri / 1999 / Introduction to integral equations with applications / Wiley
[학술지(정기간행물)] - A. A. Hamoud / 2016 / On the numerical solution of nonlinear Volterra-Fredholm integral equations by variational iteration method / International Journal of Advanced Scientific and Technical Research 3 : 45 ~ 51
[학술지(정기간행물)] - A.M. Wazwaz / 2010 / The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro differential equations / Applied Mathematics and Computation 216 : 1304 ~ 1309
[학술지(정기간행물)] - A.M. Wazwaz / 2005 / The modified decomposition method for analytic treatment of nonlinear integral equations and systems of nonlinear integral equations / International Journal of Computer Mathematics 82 (9) : 1107 ~ 1115
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UCI(KEPA) : I410-ECN-0101-2017-410-002303596