عنوان	Numerical Simulation of Enhanced Fractional Rayleigh-Stokes Model for Heated Generalized Second Grade Fluids Using RBF-PUM
نوع پژوهش	مقاله‌ی منتشر شده در نشریه
کلیدواژه‌ها	Reyleigh-Stokes problem partition of unity collocation method (PUM)radial basis function
چکیده	The primary objective of this study is to demonstrate the effectiveness of the radial basis function partition of unity collocation method (RBF-PUM) for solving the fractional Rayleigh-Stokes problem in two dimensions. The time-fractional derivative is formulated in the Riemann–Liouville sense. Initially, the time-fractional derivatives in the governing equation are discretized, followed by the application of RBF-PUM to approximate the spatial derivatives. This method offers notable advantages, including local adaptivity and the ability to adjust node density within each partition. These features help mitigate the ill-conditioning commonly encountered in traditional RBF-based methods. The unconditional stability and convergence of the time-discrete scheme are established using the energy method. To validate the theoretical findings and illustrate the efficiency of RBF-PUM, two numerical experiments are conducted on regular and irregular 2D domains, alongside comparative numerical tests.
پژوهشگران	عبداله دین محمدی (نفر اول)، احمد جعفرآبادی (نفر دوم)