Numerical Solution of Two-Dimensional Hyperbolic Equations with Nonlocal Integral Conditions Using Radial Basis Functions
عنوان مقاله: Numerical Solution of Two-Dimensional Hyperbolic Equations with Nonlocal Integral Conditions Using Radial Basis Functions
شناسه ملی مقاله: JR_IJIM-11-1_003
منتشر شده در در سال 1398
شناسه ملی مقاله: JR_IJIM-11-1_003
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:
E. Shivanian - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
M. Aslefallah - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
خلاصه مقاله:
E. Shivanian - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
M. Aslefallah - Department of Mathematics, Imam Khomeini International University, Qazvin, Iran
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).
کلمات کلیدی: Radial basis function, Hyperbolic equations with purely integral conditions, Kansa method, Finite differences theta - method
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1887027/