%0 Journal Article %T Solutions of Heat-Like and Wave-Like Equations with Variable Coefficients by Means of the Homotopy Analysis Method %A A K Alomari %A M S M Noorani %A R Nazar %A
A. %A K. %A Alomari %A M. %A S. %A M. %A Noorani %A R. %A Nazar %J 中国物理快报 %D 2008 %I %X We employ the homotopy analysis method (HAM) to obtain approximate analytical solutions to the heat-like and wave-like equations. The HAM contains the auxiliary parameter h, which provides a convenient way of controlling the convergence region of series solutions. The analysis isaccompanied by several linear and nonlinear heat-like and wave-like equations with initial boundary value problems. The results obtained prove that HAM is very effective and simple with less error than the Adomian decomposition method and the variational iteration method. %K 44 %K 05 %K +e %K 44 %K 20 %K +b %K 44 %K 27 %K +g
同伦分析法 %K 波动方程 %K 热方程 %K 数学物理方法 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=39FC5FF10F716777FD7BAE02C92D6CA1&yid=67289AFF6305E306&vid=C5154311167311FE&iid=0B39A22176CE99FB&sid=4081E94A71AB3C30&eid=106103EB0EA31435&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0