Haar wavelet method for solving generalized Burgers–Huxley equation | Zendy

İbrahim Çelik | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Haar wavelet method for solving generalized Burgers–Huxley equation

Author(s) -

İbrahim Çelik

Publication year - 2011

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2011.08.003

Subject(s) - mathematics , haar wavelet , burgers' equation , nonlinear system , partial differential equation , wavelet , mathematical analysis , simple (philosophy) , computation , wavelet transform , discrete wavelet transform , algorithm , computer science , philosophy , physics , epistemology , quantum mechanics , artificial intelligence

In this paper, an efficient numerical method for the solution of nonlinear partial differential equations based on the Haar wavelets approach is proposed, and tested in the case of generalized Burgers–Huxley equation. Approximate solutions of the generalized Burgers–Huxley equation are compared with exact solutions. The proposed scheme can be used in a wide class of nonlinear reaction–diffusion equations. These calculations demonstrate that the accuracy of the Haar wavelet solutions is quite high even in the case of a small number of grid points. The present method is a very reliable, simple, small computation costs, flexible, and convenient alternative method

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research