Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 7 (2012), 15 -- 25

DETERMINATION TEMPERATURE OF A HEAT EQUATION FROM THE FINAL VALUE DATA

Tuan H. Nguyen*, Tri V. Phan, H. Vu and Hoa V. Ngo

Abstract. We introduce the truncation method for solving a backward heat conduction problem. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove that our method is effective.

2010 Mathematics Subject Classification: 58K05; 35K99; 47J06; 47H10.
Keywords: Backward heat problem; Ill-posed problem; Homogeneous heat; Contraction principle.

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Tuan H. Nguyen Tri V. Phan
Division of Applied Mathematics, Division of Applied Mathematics,
Ton Duc Thang University, Ton Duc Thang University,
Nguyen Huu Tho Street, District 7, Nguyen Huu Tho Street, District 7,
Hochiminh City, Vietnam. Hochiminh City, Vietnam.
e-mail: tuanhuy_bs@yahoo.com e-mail: phanvantri82@gmail.com


Hoa V. Ngo H. Vu
Division of Applied Mathematics, Division of Applied Mathematics,
Ton Duc Thang University, Ton Duc Thang University,
Nguyen Huu Tho Street, District 7, Nguyen Huu Tho Street, District 7,
Hochiminh City, Vietnam. Hochiminh City, Vietnam.
n.v.hoamath@gmail.com e-mail: hovumath@gmail.com


http://www.utgjiu.ro/math/sma