The meshless method for solving radiative transfer problems in a slab medium based on radial basis functions
This work offers a meshless alternative for solving radiative transfer problems, which may be useful for researchers in computational physics, but the method is incremental as it applies existing RBF techniques to a specific problem.
The paper presents a meshless numerical method using radial basis functions to solve radiative transfer equations in a slab medium with isotropic scattering, achieving accurate results without mesh generation and demonstrating convergence through residual norms.
In this paper a numerical meshless method for solving the radiative transfer equations in a slab medium with an isotropic scattering is considered. The method is based on radial basis functions to approximate the solution of an integral-partial differential equation by using collocation method. For this purpose different applications of RBFs are used. To this end the numerical solutions are obtained without any mesh generation into the domain of the problems. The results of numerical experiments are compared with the existing results in illustrative examples to confirm the accuracy and efficiency of the presented scheme. Also the norm of the residual functions are obtained to show the convergence of the method.