Abstract
This paper concerns iterated collocation methods for a class of nonlinear Volterra delay integral equations (VDIEs) with noncompact operators. Some properties of corresponding operators as well as existence, uniqueness and regularity of exact solution are discussed. Under a special graded meshes, the existence and uniqueness of collocation solutions are proved. Moreover, we present the global supper-convergence order. Finally, some numerical examples are given to verify the validity of the theoretical orders of convergence.
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Song, H., Yang, Z. & Xiao, Y. Iterated collocation methods for nonlinear third-kind Volterra integral equations with proportional delays. Comp. Appl. Math. 41, 191 (2022). https://doi.org/10.1007/s40314-022-01775-9
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DOI: https://doi.org/10.1007/s40314-022-01775-9