HAAR BASIS METHOD TO SOLVE SOME INVERSE PROBLEMS FOR TWO-DIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS

Reza POURGHOLİ; Saedeh FOADİAN; Amin ESFAHANİ

Makale detayları

HAAR BASIS METHOD TO SOLVE SOME INVERSE PROBLEMS FOR TWO-DIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS

Yazarlar:

Reza POURGHOLİ | Saedeh FOADİAN | Amin ESFAHANİ

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2013 Vol.3 Issue 1, pp.10-32

Belge Tipi:

Makale

Yayın Tarihi:

5/2013

Belge Dili:

İngilizce

Document ID (Org No.):

2000746296

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

A numerical method consists of combining Haar basis method and Tikhonov  regularization method. We apply the method to solve some inverse problems for twodimensional parabolic and hyperbolic equations using noisy data. In this paper, a stable  numerical solution of these problems is presented. This method uses a sensor located at  a point inside the body and measures the u x, y, t  at a point x = a, 0 < a < 1. We also  show that the rate of convergence of the method is as exponential. Numerical results  show that a good estimation on the unknown functions of the inverse problems can be  obtained within a couple of minutes CPU time at Pentium IV-2.53 GHz PC.

Makale detayları

HAAR BASIS METHOD TO SOLVE SOME INVERSE PROBLEMS FOR TWO-DIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS

Yazarlar: Reza POURGHOLİ | Saedeh FOADİAN | Amin ESFAHANİ

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2013 Vol.3 Issue 1, pp.10-32

Belge Tipi: Makale

Yayın Tarihi: 5/2013

Belge Dili: İngilizce

Document ID (Org No.): 2000746296

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

Reza POURGHOLİ | Saedeh FOADİAN | Amin ESFAHANİ

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2013 Vol.3 Issue 1, pp.10-32

Belge Tipi:

Makale

Yayın Tarihi:

5/2013

Belge Dili:

İngilizce

Document ID (Org No.):

2000746296

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147