Paper Info
Title
Element free Galerkin approach based on the reproducing kernel particle method for solving 2D fractional Tricomi-type equation with Robin boundary condition.
Abstract
The traditional element free Galerkin (EFG) approach is constructed on variational weak form that the test and trial functions are shape functions of moving least squares (MLS) approximation. In the current paper, we propose a new version of the EFG method based on the shape functions of reproducing kernel particle method (RKPM). In other words, based on the developed approach in Han and Meng (2001) the fractional Tricomi-type equation will be solved using the new technique. The fractional derivative has been introduced in the Caputos sense and is approximated by a finite difference plan of order O(3),1
Year
DOI
Venue
2017
10.1016/j.camwa.2016.11.020
Computers & Mathematics with Applications
Keywords
Field
DocType
Time fractional Tricomi-type equation,Element free Galerkin (EFG) method,Reproducing kernel particle method (RKPM),Unconditional stability,Convergence and error estimate,Meshless methods
Convergence (routing),Mathematical optimization,Robin boundary condition,Meshfree methods,Mathematical analysis,Finite difference,Galerkin method,Moving least squares,Finite element method,Fractional calculus,Mathematics
Journal
Volume
Issue
ISSN
73
6
0898-1221
Citations 
PageRank 
References 
6
0.48
18
Authors
2
Name
Order
Citations
PageRank
Mehdi Dehghan13022324.48
Mostafa Abbaszadeh221318.53