أعضاء هيئة التدريس - جامعة بنها
Fourier spectral methods for solving some nonlinear partial differential equations
The International Journal of Open Problems in Computer Science and Mathematics • 2013
معلومات البحث
المؤلفون
Hany N. Hassan; Hassan K. Saleh
الكلمات المفتاحية
Fourier spectral method, Fast Fourier transform, Boussinesq
equation, Korteweg-de Vries equation; leap frog, finite difference.
المجلة العلمية
The International Journal of Open Problems in Computer Science and Mathematics
الناشر
Not Available
المجلد
6
العدد
2
الصفحات
Not Available
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
The spectral collocation or pseudospectral (PS) methods (Fourier
transform methods) combined with temporal discretization techniques to
numerically compute solutions of some partial differential equations (PDEs). In
this paper, we solve the Korteweg-de Vries (KdV) equation using a Fourier
spectral collocation method to discretize the space variable, leap frog and
classical fourth-order Runge-Kutta scheme (RK4) for time dependence. Also,
Boussinesq equation is solving by a Fourier spectral collocation method to
discretize the space variable, finite difference and classical fourth-order Runge-
Kutta scheme (RK4) for time dependence. Our implementation employs the Fast
Fourier Transform (FFT) algorithm.
transform methods) combined with temporal discretization techniques to
numerically compute solutions of some partial differential equations (PDEs). In
this paper, we solve the Korteweg-de Vries (KdV) equation using a Fourier
spectral collocation method to discretize the space variable, leap frog and
classical fourth-order Runge-Kutta scheme (RK4) for time dependence. Also,
Boussinesq equation is solving by a Fourier spectral collocation method to
discretize the space variable, finite difference and classical fourth-order Runge-
Kutta scheme (RK4) for time dependence. Our implementation employs the Fast
Fourier Transform (FFT) algorithm.