Mathematical Problems in Engineering

Research Article

Variational Iteration Method for Fifth-Order Boundary Value Problems Using He's Polynomials

Table 1

Error estimates.
Exact solution*Errors
HPMB-splineVIMADMITMVIMHP
0.01.0000000000.0000.00000.0000.0000.0000.000
0.11.1051709181.0E–9–7.0E–41.0E–91.0E–91.0E–91.0E–9
0.21.2214027582.0E–9–7.2E–42.0E–92.0E–92.0E–92.0E–9
0.31.3498588081.0E–84.1E–41.0E–8 1.0E–81.0E–81.0E–8
0.41.4918246982.0E–84.6E–42.0E–82.0E–82.0E–82.0E–8
0.51.6487212713.1E–84.7E–43.1E–8 3.1E–83.1E–83.1E–8
0.61.8221188003.7E–84.8E–43.7E–83.7E–83.7E–83.7E–8
0.72.0137527074.1E–83.9E–44.1E–8 4.1E–84.1E–84.1E–8
0.82.2255409283.1E–83.1E–43.1E–8 3.1E–83.1E–83.1E–8
0.92.4596031111.4E–81.6E–41.4E–8 1.4E–81.4E–81.4E–8
1.02.7182818280.0000.0000.0000.0000.0000.000
*Error = exact solution − series solution.