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Article

Azari, Hossein ; Parzlivand, F. ; Zhang, Shuhua
A mesh free numerical method for the solution of an inverse heat problem. (English). In: Brandts, J., Chleboun, J., Korotov, S., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Applications of Mathematics 2012, In honor of the 60th birthday of Michal Křížek. Proceedings. Prague, May 2-5, 2012. Institute of Mathematics AS CR, Prague, 2012. pp. 14-30
MSC: 34K05, 35R30, 65M06, 65M32, 65M70 | MR 3204397 | Zbl 1313.65255
Keywords:
inverse heat problem; mesh free method; finite difference method; radial basis function; collocation method; numerical results
Summary:
We combine the theory of radial basis functions with the finite difference method to solve the inverse heat problem, and use five standard radial basis functions in the method of the collocation. In addition, using the newly proposed numerical procedure, we also discuss some experimental numerical results.
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