On the numerical solution of nonlinear integral equation arising in conductor like screening model for realistic solvents

Abstract

The aim of this work is to introduce an efficient algorithm for the numerical solution of nonlinear integral equation arising from chemical phenomenon which is a famous equation in chemistry engineering. A procedure is described for transforming the nonlinear integral equation by using Chebyshev polynomials to nonlinear system of algebraic equations. Also, we present a convergence analysis and error bound for presented method. In addition, some numerical results are reported to evaluate the validity and applicability of the method and also comparison has been done with existing results.

An iterative algorithm to find a closed form of solution for Hammerstein nonlinear integral equation constructed by the concept of cosm-rs

“…and (sin(5 � + 2.5)) 2 respectively. Thus we can give an approximation of solution of the electrostatic misfit energy (20-23) by two first terms of series (8) as follows, Equation (31) is a closed form of the solution, but in [1] and other similar works, some points of solution were given. The plot corresponding to (31) is shown in Fig.…”

“…Although [1] and [9] have high accuracy, the closed form of the solution is not provided. Also we compare our result with [1,9] and [14] in Table 2.…”

“…Also in [9,13,14] introduced some numerical methods to solve Hammerstein nonlinear integral equation. But we decide to solve the above (1)…”

“…In this paper, we focus on (1) and convert it to a suitable form of integral equation in the following steps, assuming f ( ) = exp − s ( )…”