Numerical solution of Volterra integral equations via Szász‐Mirakyan approximation method
Fuat Usta, Merve İlkhan, Emrah Evren Kara
Abstract
Szász‐Mirakyan operators are a powerful tool that can be used to approximate functions on the unbounded interval . In this contribution, we propose a numerical solution of Volterra integral equations with the help of Szász‐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.
Topics & Concepts
MathematicsVolterra integral equationIntegral equationNumerical analysisInterval (graph theory)Context (archaeology)Applied mathematicsNumerical approximationMathematical analysisCombinatoricsPaleontologyBiologyApproximation Theory and Sequence SpacesIterative Methods for Nonlinear EquationsMathematical functions and polynomials