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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 651 - 665 (15page)
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초록· 키워드
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Some computational fluid dynamics problems concerning the thin films flow of viscous fluid with a free surface and draining or coating fluid-flow problems can be delineated by third-order ordinary differential equations. In this paper, the aim is to introduce the numerical solutions of the boundary value problems of such equations by variational iteration method. In this paper, it is shown that the third-order boundary value problems can be written as a system of integral equations, which can be solved by using the variational iteration method. These solutions are gleaned in terms of convergent series. Numerical examples are given to depict the method and their convergence.
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참고문헌 (25)
참고문헌 신청
A. Khan / 2003 / The numerical solution of third-order boundary value problems using quintic splines / Appl. Math. Comput. 137 : 253 ~ 260
A. S. Abdullah / 2014 / Solving third-order boundary value problem with fth-order block method / Math. Meth. Eng. Econ. 1 : 87 ~ 91
E. A. Al-Said / 2003 / Cubic splines methods for a system of third order boundary value problems / Appl. Math. Comput. 142 : 195 ~ 204
E. A. Al-Said / 2007 / Numerical solutions of third-order system of boundary value problems / Appl. Math. Comput. 190 : 332 ~ 338
F. A. A. El-Salam / 2010 / The numerical olution of linear third-order boundary value problems using nonpolynomial spline technique / J. American. Sci 6 (12) : 303 ~ 309
A. S. Abdullah / 2014 / Solving third-order boundary value problem with fth-order block method / Math. Meth. Eng. Econ. 1 : 87 ~ 91
E. A. Al-Said / 2003 / Cubic splines methods for a system of third order boundary value problems / Appl. Math. Comput. 142 : 195 ~ 204
E. A. Al-Said / 2007 / Numerical solutions of third-order system of boundary value problems / Appl. Math. Comput. 190 : 332 ~ 338
F. A. A. El-Salam / 2010 / The numerical olution of linear third-order boundary value problems using nonpolynomial spline technique / J. American. Sci 6 (12) : 303 ~ 309
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