Mathematical Problems in Engineering / 2013 / Article / Tab 1

Research Article

Optimal Homotopy Asymptotic Method to Nonlinear Damped Generalized Regularized Long-Wave Equation

Table 1

(a) Comparison of absolute errors of 3rd order OHAM solution and 3rd order VIM solution for Example 1 at and various values of t. (b) Comparison of absolute errors of 3rd order OHAM solution and 3rd order VIM solution for Example 1 at and various values of t. (c) Comparison of absolute errors of 3rd order OHAM solution and 3rd order VIM solution for Example 1 at and various values of t.
(a)

Exact solutionOHAM solutionAbsolute error VIM Absolute error OHAM

0.02 0.313486 0.313486
0.04 0.32628 0.32627
0.06 0.339596 0.339571
0.08 0.353455 0.353416
0.10 0.367879 0.367829

(b)

Exact solutionOHAM solutionAbsolute error VIM Absolute error OHAM

0.02 0.256661 0.256661
0.04 0.267135 0.267135
0.06 0.278037 0.278037
0.08 0.289384 0.289387
0.10 0.301194 0.301199

(c)

Exact solutionOHAM solutionAbsolute error VIM Absolute error OHAM

0.02 0.210136 0.210136
0.04 0.218712 0.218712
0.06 0.227638 0.227635
0.08 0.236928 0.23692
0.10 0.246597 0.246577

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