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

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58 solutions 60000 50000 40000 30000 20000 10000 Int. J. of Appl. Math and Mech. 8 (15): 51-75, 2012. M. A. El-Tawil and S. N. Huseen 2 4 6 8 10 12 14 Figure : Comparison between of HAM (q-HAM; and exact solution of (10) at with , solutions 80000 60000 40000 20000 2 4 6 8 10 12 14 Figure : Comparison between of (q-HAM and exact solution of (10) at with , t t Exact U 10 n 1 U 7 n 1 U 5 n 1 Exact U 10 n 5 U 7 n 5 U 5 n 5
250000 200000 150000 100000 50000 Int. J. of Appl. Math and Mech. 8 (15): 51-75, 2012. The q-Homotopy Analysis Method 2 4 6 8 10 12 14 Figure : Comparison between of HAM (q-HAM;( )) and (q-HAM with exact solution of (10) at with 5 10 6 4 10 6 3 10 6 2 10 6 1 10 6 solutions solutions 5 10 15 20 Figure : Comparison between of HAM (q-HAM and q-HAM( with exact solution of (10) at with ( , t t Exact U10 n 1 U10 n 1.5 U10 n 2 U10 n 3 U10 n 4 U10 n 5 Exact U10 n 1 U10 n 10 U10 n 20 U10 n 30 U10 n 40 U10 n 50 U10 n 100 59
Page 1 and 2: ABSTRACT THE Q-HOMOTOPY ANALYSIS ME
Page 3 and 4: Int. J. of Appl. Math and Mech. 8 (
Page 7: 12 10 8 6 4 2 Int. J. of Appl. Math
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Page 15 and 16: Absolute Error 0.25 0.20 0.15 0.10
Page 17 and 18: We define a nonlinear operator as :
Page 21 and 22: Absolute Error 140 120 100 80 60 40
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THE Q-HOMOTOPY ANALYSIS METHOD (Q-HAM) - IJAMM

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