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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.4
- 발행연도
- 2017.1
- 수록면
- 545 - 562 (18page)
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초록· 키워드
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In this paper, exponential sextic spline function is used for find- ing the numerical solution of boundary value problems which arise from the problems of calculus of variations. Spline relations are derived and direct methods of order two, four and six have been obtained. Convergence anal- ysis is brie y discussed. Numerical examples are given to demonstrate the e ciency of the presented method. Comparisons are made to con rm the reliability and accuracy of the proposed technique.
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참고문헌 (20)
참고문헌 신청
J.H. Ahlberg / 1967 / The Theory of Splines and Their Appli-cations / Academic Press
R.Y. Chang / 1983 / Shifted Legendre direct method for variational problems / J. Optim. Theory Appl. 39:299~306
C.F. Chen / 1975 / A walsh series direct method for solving variational problems / J. Franklin Inst. 300:265~280
M. Dehghan / 2006 / The use of Adomain decomposition method for solving prob-lems in calculus of variations / Math. Problem Engg :1~12
S. Dixit / 2010 / Bernstein Direct Method for Solving Variational Problems / International Mathematical Forum 5:2351~2370
R.Y. Chang / 1983 / Shifted Legendre direct method for variational problems / J. Optim. Theory Appl. 39:299~306
C.F. Chen / 1975 / A walsh series direct method for solving variational problems / J. Franklin Inst. 300:265~280
M. Dehghan / 2006 / The use of Adomain decomposition method for solving prob-lems in calculus of variations / Math. Problem Engg :1~12
S. Dixit / 2010 / Bernstein Direct Method for Solving Variational Problems / International Mathematical Forum 5:2351~2370
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