The use of variational iteration method and Adomian decomposition method to solve the Eikonal equation and its application in the reconstruction problem
International Journal for Numerical Methods in Biomedical Engineering, 2011•Wiley Online Library
In this paper, the variational iteration method (VIM) and the Adomian decomposition method
(ADM) are applied to solve the Eikonal equation. In addition, we apply the VIM using He's
polynomials to find a semi‐analytic solution of the studied model. The VIM is based on the
incorporation of a general Lagrange multiplier in the construction of correction functional for
the equation. On the other hand, in the ADM the approximate solution is considered as an
infinite series usually converging to the accurate solution. In addition, the results obtained …
(ADM) are applied to solve the Eikonal equation. In addition, we apply the VIM using He's
polynomials to find a semi‐analytic solution of the studied model. The VIM is based on the
incorporation of a general Lagrange multiplier in the construction of correction functional for
the equation. On the other hand, in the ADM the approximate solution is considered as an
infinite series usually converging to the accurate solution. In addition, the results obtained …
Abstract
In this paper, the variational iteration method (VIM) and the Adomian decomposition method (ADM) are applied to solve the Eikonal equation. In addition, we apply the VIM using He's polynomials to find a semi‐analytic solution of the studied model. The VIM is based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the equation. On the other hand, in the ADM the approximate solution is considered as an infinite series usually converging to the accurate solution. In addition, the results obtained using the two methods are presented. Comparison of the results reveals that the present methods are very efficient and convenient. Copyright© 2009 John Wiley & Sons, Ltd.
Wiley Online Library以上显示的是最相近的搜索结果。 查看全部搜索结果