A differential quadrature-based approach à la Picard for systems of partial differential equations associated with fuzzy differential equations

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• 作者：J.E. Mací ; as-Dí ; az^a ; ^{jemacias@correo.uaa.mx" class="auth_mail" title="E-mail the corresponding author} ; Stefania Tomasiello^b ; ^{stomasiello@unisa.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35R13 ; 65D32 ; 94D05
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：299
• 期：Complete
• 页码：15-23
• 全文大小：1507 K

文摘

Departing from a numerical method designed to solve ordinary differential equations, in this manuscript we extend such approach to solve problems involving fuzzy partial differential equations. The method proposed in this work is a non-recursive technique that combines differential quadrature rules and a Picard-like scheme in order to obtain general solutions of systems of partial differential equations derived from a general fuzzy partial differential model. The property of stability and a bound for the Hausdorff distance are established under suitable conditions. Several numerical examples are provided in order to show the effectiveness of the proposed technique.