Using Bernstein multi-scaling polynomials to obtain numerical solution of Volterra integral equations system-Reference-Cited by-同舟云学术

Using Bernstein multi-scaling polynomials to obtain numerical solution of Volterra integral equations system

Published:2020-06-06 Issue:3 Volume:39 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Yaghoobnia A. R.,Ezzati R.^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-020-01198-4.pdf

Reference31 articles.

1. Biazar J, Ebrahimi H (2012) Chebyshev wavelets approach for nonlinear systems of volterra integral equations. Comput Math Appl 63(3):608–616

2. Biazar J, Babolian E, Islam R (2003) Solution of a system of volterra integral equations of the first kind by adomian method. Appl Math Comput 139(2–3):249–258

3. Borówko M, Rżysko W, Sokołowski S, Staszewski T (2017) Integral equations theory for two-dimensional systems involving nanoparticles. Mol Phys 115(9–12):1065–1073

4. Chen C, Hsiao C (1997) Haar wavelet method for solving lumped and distributed-parameter systems. IEE Proc Control Theory Appl 144(1):87–94

5. Chen W, Li C, Ou B (2005) Classification of solutions for a system of integral equations. Commun Partial Differ Equ 30(1–2):59–65

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