SOLVING AN INVERSE PROBLEM FOR A GENERALIZED TIME-DELAYED BURGERS-FISHER EQUATION BY HAAR WAVELET METHOD | Zendy

Saedeh Foadian | Zendy; Reza Pourgholi | Zendy; S. Hashem Tabasi | Zendy; Hamed Zeidabadi | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

SOLVING AN INVERSE PROBLEM FOR A GENERALIZED TIME-DELAYED BURGERS-FISHER EQUATION BY HAAR WAVELET METHOD

Author(s) -

Saedeh Foadian,

Reza Pourgholi,

S. Hashem Tabasi,

Hamed Zeidabadi

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20170028

Subject(s) - mathematics , tikhonov regularization , haar wavelet , wavelet , burgers' equation , mathematical analysis , rate of convergence , inverse , inverse problem , exponential function , robustness (evolution) , wavelet transform , partial differential equation , discrete wavelet transform , geometry , computer science , artificial intelligence , computer network , channel (broadcasting) , biochemistry , chemistry , gene

In this paper, a numerical method consists of combining Haar wavelet method and Tikhonov regularization method to determine unknown boundary condition and unknown nonlinear source term for the generalized time-delayed Burgers-Fisher equation using noisy data is presented. A stable numerical solution is determined for the problem. We also show that the rate of convergence of the method is as exponential $ \Bigl(O\left(\frac{1}{2^{J+1}}\right)\Bigr) $, where $ J $ is maximal level of resolution of wavelet. Some numerical results are reported to show the efficiency and robustness of the proposed approach for solving the inverse problems.

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