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

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

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56<br />

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

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

2.5 2.0 1.5 1.0 0.5 0.5 h<br />

Figure : - curve for the <strong>HAM</strong> (q-<strong>HAM</strong>; approximation solution of<br />

problem (10) at different values of .<br />

3 2 1<br />

U 10 x, t , n<br />

40<br />

30<br />

20<br />

10<br />

10<br />

20<br />

U 10 x, t , n<br />

30<br />

20<br />

10<br />

U 10 0,1,1<br />

U 10 0.5 ,2,1<br />

U 10 0.7 ,3,1<br />

U 10 0.1 ,3.7 ,1<br />

Figure : - curve for the ( q-<strong>HAM</strong>; approximation solution of<br />

problem (10) at different values of .<br />

h<br />

U 10 0,1,1.5<br />

U 10 0.5 ,2,1.5<br />

U 10 0.7 ,3,1.5<br />

U 10 0.1 ,3.7 ,1.5

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