Numerical solution of Volterra integral equations via Szasz-Mirakyan approximation method

摘要

Szasz-Mirakyan operators are a powerful tool that can be used to approximate functions on the unbounded interval [0,infinity). In this contribution, we propose a numerical solution of Volterra integral equations with the help of Szasz-Mirakyan operators. In this direction, we provide both numerical scheme and estimation of error bound of solution. Numerical experiments are also presented, highlighting the performance of the new constructions of proposed algorithm in the context of one-dimensional approximation.