The Numerical Solution of Integral Equations on the Half-Line

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Previous article Next article The Numerical Solution of Integral Equations on the Half-LineKendall AtkinsonKendall Atkinsonhttps://doi.org/10.1137/0706035PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] P. M. Anselone, Convergence and error bounds for approximate solutions of integral and operator equations of the second kind, Tech. Rep. 686, U.S. Army Mathematics Research Center, 1965, 231–252 Google Scholar[2] P. M. Anselone and , R. H. Moore, Approximate solutions of integral and operator equations, J. Math. Anal. Appl., 9 (1964), 268–277 10.1016/0022-247X(64)90042-3 MR0184448 0149.11502 CrossrefISIGoogle Scholar[3] K. E. Atkinson, Extensions of the Nystrom method for the numerical solution of linear integral equations of the second kind, Tech. Rep. 686, U.S. Army Mathematics Research Center, University of Wisconsin, Madison, 1966 Google Scholar[4] Kendall E. 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Taylor, Introduction to functional analysis, John Wiley & Sons Inc., New York, 1958xvi+423 MR0098966 0081.10202 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Modified Legendre rational and exponential collocation methods for solving nonlinear Hammerstein integral equations on the semi-infinite domain17 February 2022 | International Journal of Computer Mathematics, Vol. 99, No. 10 Cross Ref Numerical treatment of singular integral equation in unbounded domain12 March 2021 | International Journal of Computer Mathematics, Vol. 98, No. 8 Cross Ref On the numerical solution of integral equations of the second kind over infinite intervals28 August 2020 | Journal of Applied Mathematics and Computing, Vol. 66, No. 1-2 Cross Ref A directly convergent numerical method based on orthoexponential polynomials for solving integro-differential-delay equations with variable coefficients and infinite boundary on half-lineJournal of Computational and Applied Mathematics, Vol. 386 Cross Ref Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials9 October 2019 | Computational and Applied Mathematics, Vol. 38, No. 4 Cross Ref Projection and multi projection methods for nonlinear integral equations on the half-lineJournal of Computational and Applied Mathematics, Vol. 359 Cross Ref Comparison of Two Methods Based on Daubechies Scale Functions and Legendre Multiwavelets for Approximate Solution of Cauchy-Type Singular Integral Equation on $${\mathbb {R}}$$29 September 2018 Cross Ref A discrete-time model for population persistence in habitats with time-varying sizes18 January 2017 | Journal of Mathematical Biology, Vol. 75, No. 3 Cross Ref EM Algorithms Cross Ref EM Algorithms Cross Ref Boundary Integral Equations on Uubounded Rough Surfaces: Fredholmness and the Finite Section MethodJournal of Integral Equations and Applications, Vol. 20, No. 1 Cross Ref Numerical analysis of graded mesh methods for a class of second kind integral equations on the real lineJournal of Mathematical Analysis and Applications, Vol. 294, No. 2 Cross Ref A Generalized Collectively Compact Operator Theory with An Application to Integral Equations on Unbounded DomainsJournal of Integral Equations and Applications, Vol. 14, No. 1 Cross Ref Integral Equations Cross Ref On the Solvability of Second Kind Integral Equations on the Real LineJournal of Mathematical Analysis and Applications, Vol. 245, No. 1 Cross Ref Approximation of solutions of nonlinear operator equation on the half lineComputers & Mathematics with Applications, Vol. 35, No. 9 Cross Ref Approximation of Solutions of Operator Equations on the Half Line Cross Ref Superconvergent approximations for Wiener-Hopf equationsActa Mathematicae Applicatae Sinica, Vol. 12, No. 4 Cross Ref Degenerate kernel schemes by wavelets for nonlinear integral equations on the real line2 May 2007 | Applicable Analysis, Vol. 59, No. 1-4 Cross Ref Asymptotic Behavior at Infinity of Solutions of Multidimensional Second Kind Integral EquationsJournal of Integral Equations and Applications, Vol. 7, No. 3 Cross Ref Approximate Solution of Second Kind Integral Equations on Infinite Cylindrical SurfacesAndrew T. 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