Chin. Phys. Lett.  2008, Vol. 25 Issue (2): 589-592    DOI:
Original Articles |
Solutions of Heat-Like and Wave-Like Equations with Variable Coefficients by Means of the Homotopy Analysis Method
A. K. Alomari;M. S. M. Noorani;R. Nazar
School of Mathematical Sciences, University Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
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A. K. Alomari, M. S. M. Noorani, R. Nazar 2008 Chin. Phys. Lett. 25 589-592
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Abstract We employ the homotopy analysis method (HAM) to obtain approximate analytical solutions to the heat-like and wave-like equations. The HAM contains the auxiliary parameter h, which provides a convenient way of controlling the convergence region of series solutions. The analysis is
accompanied by several linear and nonlinear heat-like and wave-like equations with initial boundary value problems. The results obtained prove that HAM is very effective and simple with less error than the Adomian decomposition method and the variational iteration method.
Keywords: 44.05.+e      44.20.+b      44.27.+g     
Received: 25 October 2007      Published: 30 January 2008
PACS:  44.05.+e (Analytical and numerical techniques)  
  44.20.+b (Boundary layer heat flow)  
  44.27.+g (Forced convection)  
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Articles by authors
A. K. Alomari
M. S. M. Noorani
R. Nazar
[1] Wazwaz A M and Gorguis A 2004 Appl. Math. Comput. 149 15
[2] Manolis G D and Rangelov T V 2006 Soil DynamicsEarthquake Engng. 26 952
[3] Akhmetov A A 2006 Cryogenics 43 317
[4] Shou D and He J H 2007 Phys. Lett. A (in press)doi:10.1016/j.physleta.2007.07.011.
[5] Liao S J 1992 PhD Dissertation (Shanghai: ShanghaiJiao Tong University)
[6] Liao S J 2003 Beyond Perturbation: Introduction toHomotopy Analysis Method (Boca Raton, FL: Chapman and Hall/CRC)
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