On Convergence of q-Homotopy Analysis Method
نویسندگان
چکیده
The convergence of qhomotopy analysis method (q-HAM) is studied in the present paper. It is proven that under certain conditions the solution of the equation: 1 ∅ , ∅ , 0 associated with the original problem exists as a power series in .So,under a special constraint the q-homotopy analysis method does converge to the exact solution of nonlinear problems. An error estimate is also provided. The theorems outlined in the paper shows that the convergence of the qhomotopy analysis method is more accurate than the convergence of the homotopy analysis method (HAM). Illustrative examples are presented to illustrate the effectiveness of the theoretical results.
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