The iterated Galerkin method for linear integro-differential equations
Journal of Computational and Applied Mathematics
Reconsideration of solvent effects calculated by semiempirical quantum chemical methods
Journal of Computational Chemistry
Wavelet-Galerkin method for integro-differential equations
Applied Numerical Mathematics
Near optimality of the sinc approximation
Mathematics of Computation
Double exponential formulas for numerical indefinite integration
Journal of Computational and Applied Mathematics
Recent developments of the Sinc numerical methods
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Journal of Computational and Applied Mathematics
International Journal of Computer Mathematics
Wavelet Collocation Method and Multilevel Augmentation Method for Hammerstein Equations
SIAM Journal on Scientific Computing
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In this study, we present the existence of solutions for some nonlinear integral equations known as Hammerstein type which forms the basis for the conductor-like screening model for real solvents (COSMO-RS). By using the techniques of noncompactness measures, we employ the basic fixed point theorems such as Darbo's theorem to obtain the mentioned aim in Banach algebra. Then this paper presents a powerful numerical approach based on the Sinc approximation to solve the equation which forms the basis for the conductor-like screening model for real solvents (COSMO-RS). The approach is based on the recognition of the Hammerstein integral equation for the determination of the chemical potential of a surface segment as a function of screening charge density. Then convergence of this technique is discussed by preparing a theorem which shows an exponential type convergence rate and guarantees the applicability of that.