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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.13 No.2
- 발행연도
- 2009.6
- 수록면
- 109 - 121 (13page)
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In this paper, we use He's polynomials for solving higher order integro differential equations (IDES) by converting them to an equivalent system of integral equations. The He's polynomials which are easier to calculate and are compatible to Adomian's polynomials are found by using homotopy perturbation method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Several examples are given to verify the reliability and efficiency of the proposed method.
목차
ABSTRACT
1. INTRODUCTION
2. HOMOTOPY PERTURBATION METHOD
3. NUMERICAL APPLICATIONS
4. CONCLUSION
ACKNOWLEDGMENTS
REFERENCES
참고문헌 (29)
참고문헌 신청
1. [단행본] - R. P. Agarwal / 1986 / Boundary value problems for higher order differential equations / world scientific
2. [학술지(정기간행물)] - R. P. Agarwal / 1983 / Boundary value problems for higher order integro-differential equations Nonlinear Analysis / Theory, Math. Appl. 7 (3) : 259 ~ 270
3. [학술지(정기간행물)] - A. Ghorbani / 2007 / He’s homotopy perturbation method for calculating Adomian’s polynomials / Int. J. Nonlin. Scne. Num. Simul. 8 (2) : 229 ~ 332
4. [단행본] - A. Ghorbani / 2007 / Beyond Adomian’s polynomials: He polynomials / Chaos Soliton & Fractals
5. [학술지(정기간행물)] - I. Hashim / 2006 / Adomian’s decomposition method for solving boundary value problems for fourth-order integro-differential equations / J. Comput. Appl. Math. 193 : 658 ~ 664
2. [학술지(정기간행물)] - R. P. Agarwal / 1983 / Boundary value problems for higher order integro-differential equations Nonlinear Analysis / Theory, Math. Appl. 7 (3) : 259 ~ 270
3. [학술지(정기간행물)] - A. Ghorbani / 2007 / He’s homotopy perturbation method for calculating Adomian’s polynomials / Int. J. Nonlin. Scne. Num. Simul. 8 (2) : 229 ~ 332
4. [단행본] - A. Ghorbani / 2007 / Beyond Adomian’s polynomials: He polynomials / Chaos Soliton & Fractals
5. [학술지(정기간행물)] - I. Hashim / 2006 / Adomian’s decomposition method for solving boundary value problems for fourth-order integro-differential equations / J. Comput. Appl. Math. 193 : 658 ~ 664
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UCI(KEPA) : I410-ECN-0101-2009-410-018463731