Analytic solutions to diffusion equations

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• 作者：M. Paripour ; E. Babolian ; J. Saeidian
• 关键词：Homotopy analysis method ; Diffusion equation ; Analytic methods
• 刊名：Mathematical and Computer Modelling
• 出版年：2010
• 出版时间：March 2010
• 年：2010
• 卷：51
• 期：5-6
• 页码：649-657
• 全文大小：483 K

文摘

The homotopy analysis method (HAM) is a promising method for handling functional equations. Recent publications have proved the effectiveness of the HAM in solving a wide variety of problems in different fields. In this work, through successfully applying the HAM for solving diffusion equations, we present examples which illustrate different procedures for controlling the convergence region of the solution series. Moreover, in all worked examples, we use the same auxiliary linear functional L, the same auxiliary function H and the same initial guess v₀, which seems to be a good advantage.