Numerical Solution of the Fredholm and Volterra Integral Equations by Using Modified Bernstein–Kantorovich Operators

The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators. unknown function in equation approximated Hence, discretization, obtained are transformed into systems algebraic equations. Due sensitivity solutions on input data, significant difficulties may be encountered, leading instabilities results during actualization. Consequently, improve stability which imply accuracy desired results, regularization features built proposed numerical approach. More stable approximations especially when high order used Test problems constructed show computational efficiency, applicability method. Furthermore, method also applied second