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International Journal of Computer Mathematics Volume 89, 2012 - Issue 3: TOPICS OF CONTEMPORARY COMPUTATIONAL MATHEMATICS
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Section B

Solving third- and fourth-order partial differential equations using GFDM: application to solve problems of plates

Francisco Ureña Departamento de Matemática Aplicada, Universidad de Castilla-La Mancha, Camilo J Cela, Ciudad Real, 13071, Spain
,
Eduardo Salete Departamento de Construcción y Fabricación, Universidad Nacional de Educación a Distancia, Juan del Rosal,12, Madrid, 28040, Spain
,
J. J. Benito Departamento de Construcción y Fabricación, Universidad Nacional de Educación a Distancia, Juan del Rosal,12, Madrid, 28040, Spain
&
Luis Gavete Departamento de Matemática Aplicada a los Recursos Naturales, Universidad Politécnica de Madrid, Applied Mathematics in Natural Resources, C/Alenza 4, Madrid, 28003, SpainCorrespondence[email protected]
Pages 366-376 | Received 25 Aug 2010, Accepted 02 May 2011, Published online: 01 Aug 2011
 
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Abstract

This paper describes the generalized finite difference method to solve second-order partial differential equation systems and fourth-order partial differential equations. This method is applied to solve the problem of thin and thick elastic plates.

2000 AMS Subject Classifications :

Acknowledgements

The authors acknowledge the support from Ministerio de Ciencia e Innovación of Spain, project CGL2008−01757/CLI.

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