An hp-version error estimate of spectral collocation methods for weakly singular Volterra integro-differential equations with vanishing delays
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s40314-024-02818-z.pdf
Reference35 articles.
1. Ali I (2011) Convergence analysis of spectral methods for integro-differential equations with vanishing proportional delays. J Comput Math 29(1):49–60
2. Ali I (2015) Jacobi-spectral method for integro-delay differential equations with weakly singular kernels. Turk J Math 39(6):810–819. https://doi.org/10.3906/mat-1409-67
3. Azizipour G, Shahmorad S (2022) A new tau-collocation method with fractional basis for solving weakly singular delay Volterra integro-differential equations. J Appl Math Comput 68(4):2435–2469. https://doi.org/10.1007/s12190-021-01626-6
4. Bellen A, Brunner H, Maset S et al (2006) Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays. BIT 46(2):229–247. https://doi.org/10.1007/s10543-006-0055-2
5. Brunner H (2004) Collocation methods for Volterra integral and related functional differential equations, Cambridge Monographs on Applied and Computational Mathematics, vol 15. Cambridge University Press, Cambridge
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