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Numerical solution of time-delayed Burgers’ equations using Haar wavelets

VISHNU NARAYAN MISHRA|L.N. ACHALA|K.P. SUMANA
장전수학회 (Jangjeon Mathematical Society)|2019.07|Advanced Studies in Contemporary Mathematics|제29권 제3호|pp. 411-437

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참고문헌

키워드

Haar waveletsCollocation pointsTime-delayed Burgers' equa- tionQuasilinearization
주제분류수학

초록

In this paper, an ecient 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.

Abstract

In this paper, an ecient 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.

참고문헌 (48)

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