Title of article
Numerical Solution of Two-Dimensional Hyperbolic Equations with Nonlocal Integral Conditions Using Radial Basis Functions
Author/Authors
Shivanian, E. Department of Mathematics - Imam Khomeini International University, Qazvin, Iran , Aslefallah, M. Department of Mathematics - Imam Khomeini International University, Qazvin, Iran
Pages
10
From page
25
To page
34
Abstract
This paper proposes a numerical method to the two-dimensional hyperbolic equations with nonlocal integral conditions. The nonlocal integral equation is of major challenge in the frame work of the numerical solutions of PDEs. The method benefits from collocation radial basis function method, the generalized thin plate splines radial basis functions are used.Therefore, it does not require any struggle to determine shape parameter (In other RBFs, it is time-consuming step).
Keywords
Radial basis function , Hyperbolic equations with purely integral conditions , Kansa method , Finite differences $theta -$ method
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2438583
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