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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:299

Article

Macias-Diaz, J. E.¹  Tomasiello, Stefania² 

[1] Univ Autonoma Aguascalientes, Dept Matemat & Fis, Ave Univ 940,Ciudad Univ, Aguascalientes 20131, Ags, Mexico

[2] Univ Salerno, Dipartimento Informat, Consorzio Ric Sistemi Agenti, Via Giovanni Paolo II 132, I-84084 Salerno, Italy

关键词: Partial differential equations;    Differential quadrature method;    Picard-like approach;    Fuzzy sets;    Non-recursive method;   

DOI  :  10.1016/j.cam.2015.08.009

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free