Record number :
1595512
Title of article :
Analyzing two-dimensional sine–Gordon equation with the mesh-free reproducing kernel particle Ritz method
Author/Authors :
Cheng، نويسنده , , R.J. and Liew، نويسنده , , K.M.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Pages :
12
From page :
132
To page :
143
Abstract :
We consider an analysis of the non-linear two-dimensional sine–Gordon (SG) equation. The analysis is performed using the mesh-free reproducing kernel particle Ritz method (kp-Ritz method). The mesh-free kernel particle estimate is employed to approximate the 2D displacement field. A system of discrete equations is obtained through application of the Ritz minimization procedure to the energy expressions. To validate the accuracy of the results and stability of the present method, convergence studies were carried out based on influences of support size and number of nodes. The present results were compared with results reported in extant literature and were found to be in good agreement with the literature.
Keywords :
Sine–Gordon (SG) equation , soliton , Meshless method , Mesh-free kp-Ritz method
Journal title :
Computer Methods in Applied Mechanics and Engineering
Journal title :
Computer Methods in Applied Mechanics and Engineering
Serial Year :
2012
Link To Document :
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