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THE Q-HOMOTOPY ANALYSIS METHOD (Q-HAM) - IJAMM

THE Q-HOMOTOPY ANALYSIS METHOD (Q-HAM) - IJAMM

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74<br />

Int. J. of Appl. Math and Mech. 8 (15): 51-75, 2012.<br />

M. A. El-Tawil and S. N. Huseen<br />

Liao SJ(1996).What’s the common ground of all numerical and analytical tichniques for<br />

nonlinear problems.Communications in nonlinear science & numerical simulation; (4):26-30.<br />

Lioa SJ(1997). Homotopy analysis method :A new analytical technique for nonlinear<br />

problems. Communications in nonlinear science & numerical simulation; 2(2):95-100.<br />

Lioa SJ(2002). A direct boundary element approach for unsteady non-linear heat transfer<br />

problems. Engineering analysis with boundary element method ;26:55-59.<br />

Lioa SJ(2003). Beyond perturbation : Introduction to the homotopy analysis method .CRC<br />

Press,Chapman & Hall.<br />

Loia SJ(2004). On the homotopy analysis method: for nonlinear problems .Applied<br />

mathematics and computation ; 147:499-513.<br />

Liao SJ(2009). Notes on the homotopy analysis method : Some definitions and theorems .<br />

Communications in nonlinear science & numerical simulation ,14:983-997.<br />

Lyapunov AM ( 1992). General problem on stability of motion .Taylor & Francis ,London<br />

[English translation].<br />

Murdock JA(1991).Perturbation :theory and methods.New York:John Wiley&Sons.<br />

Nayfeh AH(1981). Introduction to perturbation techniques ,New York; John Wiley &Sons.<br />

Nayfeh AH(1985). Problems in perturbation ,New York; John Wiley &Sons.<br />

Nayfeh AH(2000). Perturbation methods. New York: John Wiley&Sons.<br />

O Abdulaziz I Hashim and A Saif(2008). Series Solutions of Time-Fractional PDEs by<br />

Homotopy Analysis Method, Hindawi Publishing Corporation Differential Equations and<br />

Nonlinear Mechanics Volume 2008, Article ID 686512, 16 pages, doi:10.1155/686512.<br />

Rach R(1984). On the Adomain method and comparisons with Picards method . Journal of<br />

Mathematical Analysis and Applications ;10:139-59.<br />

Seyyed Ali Kazemipour and Ahmad Neyrameh(2010).Analytical study on Goursat<br />

problems,world applied sciences Journal;10(8) 867-870.<br />

Song H and Tao L(2007). Homotopy analysis of 1 D unsteady, nonlinear groundwater flow<br />

through porous media. Journal of Coastal Research ;50:292-5.<br />

Sukran Cavdar(2010). Homotopy analysis method for one group Neutron diffusion equation,<br />

5 th International Ege Energy Symposium and Exhibition (IEESE-5) 27-30 June,Pamukkale<br />

University , Denizli, Turkey.<br />

Tao L Song H Chakrabarti S(2007). Nonlinear progressive waves in water of finite depth-an<br />

analytic approximation,Coastal Engineering ;54:825-34.

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