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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.21 No.4
- 발행연도
- 2018.1
- 수록면
- 645 - 658 (14page)
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초록· 키워드
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In this paper, a non-polynomial quartic spline method is presented to obtain the approximate solution of twelfth-order boundary value problems with two point boundary conditions. For the employment of the method, the given problem is decomposed into a system of sixth order boundary value problems. Convergence analysis of the method for second and fourth order has been discussed. Numerical examples are given to demonstrate the accuracy and e ciency of the developed method. Also, the results obtained by this method have been compared with the other existing methods.
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참고문헌 (16)
참고문헌 신청
A. Boutayeb / 1991 / Finite difference methods for twelfth-order boundaryvalue problems / J. Comput. Appl. Math. 35:133~138
A. Khan / 2012 / Parametric quintic spline solution for sixth order two point boundary value problems / Filomat 26:1233~1245
A.M. Wazwaz / 2000 / Approximate solutions to boundary value problems of higher order by the modified decomposition method / Comput Math Appl. 40:679~691
E.A. AI-Said / 2002 / Quartic spline method for solving fourth order obstacle boundary value problems / Journal of Computational and Applied Mathematics 143:107~116
E.H. Twizell / 1994 / Numerical methods for eighth-, tenth-and twelfth-order-eigenvalue problems arising in thermal instability / Adv. Comput. Math. 2:407~436
A. Khan / 2012 / Parametric quintic spline solution for sixth order two point boundary value problems / Filomat 26:1233~1245
A.M. Wazwaz / 2000 / Approximate solutions to boundary value problems of higher order by the modified decomposition method / Comput Math Appl. 40:679~691
E.A. AI-Said / 2002 / Quartic spline method for solving fourth order obstacle boundary value problems / Journal of Computational and Applied Mathematics 143:107~116
E.H. Twizell / 1994 / Numerical methods for eighth-, tenth-and twelfth-order-eigenvalue problems arising in thermal instability / Adv. Comput. Math. 2:407~436
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