International Scholarly Research Notices / 2011 / Article / Tab 3

Research Article

Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration

Table 3

Comparison of the numerical solution and error obtained by present method with series solution [25].

๐‘ฅ Present method Series method [25]
๐‘š = 3 2 ๐‘š = 1 2 8 ๐‘š = 2 5 6

0.0 0 . 0 0 ๐ธ + 0 0 0 . 0 0 ๐ธ + 0 0 0 . 0 0 ๐ธ + 0 0 0 . 0 0 ๐ธ + 0 0
0.1 4 . 6 6 ๐ธ โˆ’ 0 4 2 . 9 1 ๐ธ โˆ’ 0 5 7 . 2 8 ๐ธ โˆ’ 0 6 3 . 9 4 ๐ธ โˆ’ 0 6
0.5 1 . 4 6 ๐ธ โˆ’ 0 4 9 . 1 6 ๐ธ โˆ’ 0 6 2 . 2 9 ๐ธ โˆ’ 0 7 3 . 0 2 ๐ธ โˆ’ 0 6
1.0 8 . 6 0 ๐ธ โˆ’ 0 5 3 . 6 8 ๐ธ โˆ’ 0 6 1 . 2 8 ๐ธ โˆ’ 0 8 9 . 3 1 ๐ธ โˆ’ 0 7

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