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Methods > Integral Equations

Methods for Solving Integral Equations

• A solution method for some classes of nonlinear integral, integro-functional, and integro-differential equations by A.D. Polyanin and A.I. Zhurov (2007).
• Regularized collocation method for Fredholm integral equation of the first kind by M.T. Nair and S.V. Pereverzev (J. Complexity, 2008).
• Linearization method for solving nonlinear integral equations by P. Darania, A. Ebadian, and A.V. Oskoi (Mathematical Problems in Engineering, 2006, Art. ID 73714, pp. 1-10).
• Some remarks on a collocation method for first kind integral equations by E. Pelican and C. Popa, 2003.
• Integral equations for the population activity by W. Gerstner and W.M. Kistler (Spiking Neuron Models, Cambridge University Press, 2002).
• High order methods for weakly singular integral equations with nonsmooth input functions by G. Monegato and L. Scuderi (Mathematics of Computations, 1998, Vol. 67, No. 224, pp. 1493-1515).
• Solution of linear integral and functional equations with special right-hand side by A.D. Polyanin and A.V. Manzhirov, 1997.
• Method of model solutions in the theory of linear integral equations by A.D. Polyanin and A.V. Manzhirov, 1997.