Variational iteration method with an auxiliary parameter for solving wave-like and heat-like equations in large domains. (March 2015)

• Record Type: Journal Article
• Authors: Ghaneai, H.; Hosseini, M.M.
• Is Part Of: Computers & mathematics with applications. Volume 69:issue 5(2015)
• Page Start: 363
• Page End: 373
• Publication Date: 2015-03
• Subjects: Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2014.11.007
• Languages: English
• ISSNs: 0898-1221

Abstract

<abstract xml:lang="en" abstract-type="author" id="a000005"> <title id="st000005">Abstract</title> <sec> <p id="sp000055">The present study is an attempt to obtain solutions of wave-like and heat-like equations with high-dimensional in large domains through the well-known variational iteration method (VIM) which is coupled with an auxiliary parameter. The convergence of the proposed method, namely variational iteration method with an auxiliary parameter, is under investigation. In addition, four examples are provided to elucidate the solution procedure and to optimally choose the auxiliary parameter. Comparing the results of the standard variational iteration method, the auxiliary parameter proves very effective in controlling the convergence region of approximate solution.</p> </sec> </abstract>