A numerical treatment based on Haar wavelets for coupled KdV equation | Zendy

Ömer Oruç | Zendy; Fatih Bulut | Zendy; Alaattin Esen | Zendy

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A numerical treatment based on Haar wavelets for coupled KdV equation

Author(s) -

Ömer Oruç,

Fatih Bulut,

Alaattin Esen

Publication year - 2017

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2017.00396

Subject(s) - korteweg–de vries equation , discretization , linearization , wavelet , mathematics , haar wavelet , mathematical analysis , nonlinear system , numerical analysis , haar , wavelet transform , computer science , discrete wavelet transform , physics , quantum mechanics , artificial intelligence

In this paper, numerical solutions of one dimensional coupled KdV equation has been investigated by Haar Wavelet method. Time derivatives given in this equation are discretized by finite differences and nonlinear terms appearing in the equations are linearized by some linearization techniques and space derivatives are discretized by Haar wavelets. For examining the performance of the proposed method, single soliton solution and conserved quantities of some test problems are used. Also, error analysis of numerical scheme is investigated and numerical results are compared with some results already existing in the literature.

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