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In this paper a numerical meshless method for solving the radiative transferequations in a slab medium with an isotropic scattering is considered. Themethod is based on radial basis functions to approximate the solution of anintegral-partial differential equation by using collocation method. For thispurpose different applications of RBFs are used. To this end the numericalsolutions are obtained without any mesh generation into the domain of theproblems. The results of numerical experiments are compared with the existingresults in illustrative examples to confirm the accuracy and efficiency of thepresented scheme. Also the norm of the residual functions are obtained to showthe convergence of the method.

The meshless method for solving radiative transfer problems in a slab medium based on radial basis functions