Numerical solution of nonlinear Volterra–Fredholm integral equations using hybrid of block-pulse functions and Taylor series

Numerical solution of Fredholm fuzzy integral equations of the second kind using hybrid of block-pulse functions and Taylor series

“…Recently, Mirzaee and Hoseini have been used the HBT method to find approximate solutions of nonlinear Volterra and Fredholm integral equations [11].…”

An efficient algorithm for solving nonlinear Volterra–Fredholm integral equations

“…And many methods have been proposed for solving them such as modified decomposition method [2,3], reproducing kernel Hilbert space method [4], Legendre wavelets method [5], homotopy perturbation method [6], a composite collocation method [7], rationalized Haar functions method [8], variational iteration method [9], collocation method based on radial basis functions [10], method based on Bernstein operational matrices [11], hybrid of block-pulse functions and Taylor series method [12], sinc method [13] etc. The comprehensive view of nonlinear Volterra-Fredholm integral equations can be found in Ref.…”

“…Numerical results for Example 1.Notes tError in[12] with Error of our method M ¼ 3; N ¼ 6 with n ¼ 6 Numerical results for Example 2.…”

Approximate Solution of Boundary Value Problem With Bernstein Polynomial Laplace Decomposition Method

“…In this section, we study the convergence of above technique using the analysis in [14], [9]. Let us consider that (C[I], ||.||) be the Banach space of all continuous function on I.…”