C - Fen Bilimleri Enstitüsü - Erciyes Üniversitesi
C - Fen Bilimleri Enstitüsü - Erciyes Üniversitesi
C - Fen Bilimleri Enstitüsü - Erciyes Üniversitesi
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138<strong>Erciyes</strong> <strong>Üniversitesi</strong> <strong>Fen</strong> <strong>Bilimleri</strong> <strong>Enstitüsü</strong> Dergisi 26(2): 131-142 (2010)Example 5. Consider the following the integral equation in [4]12x+352x−t31y( x)= e − ∫ e y(t)dt .3We give numerical analysis for various N values in Table 2 and Figure 2, 3.108765y(x)432100 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1xExact Solution BPF-Method TF-Method Laguerre Method(N=11)Figure 2. Comparing the solutions with the other methods which has been found for N = 11at Example5.7,00E-036,00E-035,00E-03E(x)4,00E-033,00E-032,00E-031,00E-030,00E+000 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1xN=7 N=9 N=11Figure 3. Numerical results of Example 5 for N = 7,9, 11.
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