An ultraspherical product integration-spectral collocation method for multidimensional partial Volterra integro-differential equations and its convergence analysis

We present a reliable numerical method for solving multidimensional partial Volterra integro-differential equations (PVIDEs). This comprehensive approach integrates techniques from product integration, the Nyström method, and spectral collocation, all founded on ultraspherical polynomials. The prima...

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Detalhes bibliográficos

Principais autores:	Saman Bagherbana, Jafar Biazar, Hossein Aminikhah
Formato:	Artigo
Idioma:	Inglês
Publicado em:	Elsevier 2025-11-01
coleção:	Results in Applied Mathematics
Assuntos:	Multidimensional partial Volterra integro-differential equations Ultraspherical polynomials Product integration Spectral collocation Dependability Convergence analysis
Acesso em linha:	http://www.sciencedirect.com/science/article/pii/S2590037425001232
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