A novel Jacob spectral method for multi-dimensional weakly singular nonlinear Volterra integral equations with nonsmooth solutions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computer Science Applications,General Engineering,Modeling and Simulation,Software
Link
https://link.springer.com/content/pdf/10.1007/s00366-020-00953-9.pdf
Reference35 articles.
1. Abbaszadeh M, Dehghan M, Zhou Y (2020) Crank–Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation. J Comput Appl Math. https://doi.org/10.1016/j.cam.2020.112739
2. Brunner H (2004) Collocation methods for Volterra integral and related functional differential equations, vol 15. Cambridge University Press, Cambridge
3. Cao Y, Herdman T, Xu Y (2003) A hybrid collocation method for Volterra integral equations with weakly singular kernels. SIAM J Numer Anal 41(1):364–381
4. Diogo T, Lima P (2008) Superconvergence of collocation methods for a class of weakly singular Volterra integral equations. J Comput Appl Math 218(2):307–316
5. Dixit S, Singh OP, Kumar S (2012) A stable numerical inversion of generalized Abel’s integral equation. Appl Numer Math 62(5):567–579
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