Approximate Analytical Solutions of KdV and Burgers’ Equations via HAM and nHAM
DOI:
https://doi.org/10.11113/jt.v67.2008Keywords:
Power converter, control design, bi-directional dc to dc converter, supercapacitor, Lithium-ion batteryAbstract
This article presents a comparative study of the accuracy between homotopy analysis method (HAM) and a new technique of homotopy analysis method (nHAM) for the Korteweg–de Vries (KdV) and Burgers’ equations. The resulted HAM and nHAM solutions at 8th-order and 6th-order approximations are then compared with that of the exact soliton solutions of KdV and Burgers’ equations, respectively. These results are shown to be in excellent agreement with the exact soliton solution. However, the result of HAM solution is ratified to be more accurate than the nHAM solution, which conforms to the existing finding.
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