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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.29 No.3
- 발행연도
- 2019.1
- 수록면
- 411 - 437 (27page)
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In this paper, an e cient numerical scheme based on uni- form Haar wavelets is used to solve the time-delayed Burgers' equations. The quasilinearization technique is used to conveniently handle the non- linear terms in the time-delayed Burgers' equations. The basic idea of Haar wavelet collocation method is to convert the partial di erential equation into a system of algebraic equations that involves a nite num- ber of variables. The solutions obtained by Haar wavelet collocation method are compared with the exact solutions and are found to be in good agreement. The error analysis of the Haar wavelet method shows that the accuracy of the method improves as the level of resolution of the Haar wavelet is increased.
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참고문헌 (48)
참고문헌 신청
J. P. Richard / 2003 / Time-delay systems: An overview of some recent advances and open problems / Automatica 39:1667~1694
A.H. Bhrawy / 2013 / Fast spectral collocation method for solving nonlinear time-delayed Burgers'-type equations with positive power terms / Abstr. Appl. Anal 2013
W. Liu / 2002 / Asymptotic behaviour of solutions of time-delayed Burgers' equation / Dis-crete Continuous Dyn. Sys. Ser. B 2(1):47~56
N. Smaoui / 2004 / The generalized Burgers' equation with and without a time delay / J. Appl. Math. Stoch. Anal 2004:73~96
E.S. Fahmy / 2008 / On the exact and numerical solution of the time-delayed Burgers' equation / Int. J. Comp. Math :01~12
A.H. Bhrawy / 2013 / Fast spectral collocation method for solving nonlinear time-delayed Burgers'-type equations with positive power terms / Abstr. Appl. Anal 2013
W. Liu / 2002 / Asymptotic behaviour of solutions of time-delayed Burgers' equation / Dis-crete Continuous Dyn. Sys. Ser. B 2(1):47~56
N. Smaoui / 2004 / The generalized Burgers' equation with and without a time delay / J. Appl. Math. Stoch. Anal 2004:73~96
E.S. Fahmy / 2008 / On the exact and numerical solution of the time-delayed Burgers' equation / Int. J. Comp. Math :01~12
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