A new contraction condition and its application to weakly singular Volterra integral equations of the second kind
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DOI: 10.1007/s11784-017-0445-x
Abstract: In this paper, we prove some results concerning the existence and uniqueness of solutions for a large class of nonlinear Volterra integral equations of the second kind, especially singular Volterra integral equations, in the Banach… read more here.
Keywords: second kind; new contraction; equations second; volterra integral ... See more keywords
Spectral collocation method for weakly singular Volterra integro-differential equations
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DOI: 10.1016/j.apnum.2019.04.011
Abstract: Abstract Spectral collocation methods are developed for weakly singular Volterra integro-differential equations (VIDEs). Convergence analysis results show that global convergence order depends on the regularities of the kernels functions and solutions to VIDEs, and the… read more here.
Keywords: integro differential; singular volterra; volterra integro; weakly singular ... See more keywords
Error analysis of Jacobi–Galerkin method for solving weakly singular Volterra–Hammerstein integral equations
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DOI: 10.1080/00207160.2020.1714601
Abstract: ABSTRACT In this article, Jacobi spectral Galerkin method and its iterated version are developed for second kind weakly singular Volterra–Hammerstein integral equations. We transform the domain of integration from to by using variable and function… read more here.
Keywords: volterra hammerstein; method; hammerstein integral; singular volterra ... See more keywords