THE COMPARISON OF EFFICIENT RADIAL BASIS FUNCTIONS COLLOCATION METHODS FOR NUMERICAL SOLUTION OF THE PARABOLIC PDE’S

Mirshojaei, S. S.; Fayazzadeh, S.

Manuscript ID : 521697 Visit : 116 Page: 149 - 157

20.1001.1.22286225.2011.1.2.8.7

Article Type: Original Research

THE COMPARISON OF EFFICIENT RADIAL BASIS FUNCTIONS COLLOCATION METHODS FOR NUMERICAL SOLUTION OF THE PARABOLIC PDE’S

Subject Areas : International Journal of Mathematical Modelling & Computations

S. S. Mirshojaei ¹ , S. Fayazzadeh ²

1 - Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of Department of Mathematics
2 - Islamic Azad University, Central Tehran Branch, Iran Iran, Islamic Republic of Department of Mathematics

Received: 2016-04-13 Accepted : 2016-04-13 Published : 2011-03-21

Keywords: collocation method, partial diﬀerential equations, parabolic equations, Radial Basis Function,

Abstract :

In this paper, we apply the compare the collocation methods of meshfree RBF over diﬀerential equation containing partial derivation of one dimension time dependent with a compound boundary nonlocal condition.

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THE COMPARISON OF EFFICIENT RADIAL BASIS FUNCTIONS COLLOCATION METHODS FOR NUMERICAL SOLUTION OF THE PARABOLIC PDE’S