A local meshless method based on the finite collocation and local integral equations method for delay PDEs. (October 2017)

• Record Type: Journal Article
• Authors: Takhtabnoos, Fariba; Shirzadi, Ahmad
• Is Part Of: Engineering analysis with boundary elements. Volume 83(2017)
• Page Start: 67
• Page End: 73
• Publication Date: 2017-10
• Subjects: Local meshless methods -- Radial basis functions -- Finite collocation method -- MLPG method -- Delay PDEs; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2017.07.019
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: A local meshless method based on the finite collocation, local radial basis function (RBF) and MLPG method is proposed for solving the 2D Delay partial differential equations. In fact, instead of collocation of governing equations in the finite collocation method, we propose the use of local weak form of governing equations on the local stencils. The method is used for the numerical solutions of the 2D delay partial differential equations (PDEs). Two delay and one nonlinear multidelay parabolic PDEs are solved as test problems and the comparisons of the results reveal the effectiveness of the method.