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Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and Δ2u=b(x,y,u)

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DOI: 10.4236/jamp.2015.34049    2,347 Downloads   2,770 Views  
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ABSTRACT

In this paper, the homoto pyanalysis method (HAM) is presented to solve some of engineering problems. The homotopy analysis method is applied in obtaining exact solutions for equations of the type Δ2=b(x,y) and  Δ2u=b(x,y,u) on an elliptical domain. Exact solutions are presented for several examples involving to demon strate the applic ability and efficiency of HAM.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Yildirim, S. (2015) Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and Δ2u=b(x,y,u). Journal of Applied Mathematics and Physics, 3, 391-398. doi: 10.4236/jamp.2015.34049.

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