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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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Hlavní autoři: Saman Bagherbana, Jafar Biazar, Hossein Aminikhah
Médium: Artigo
Jazyk:Inglês
Vydáno: Elsevier 2025-11-01
Edice:Results in Applied Mathematics
Témata:
Multidimensional partial Volterra integro-differential equations
Ultraspherical polynomials
Product integration
Spectral collocation
Dependability
Convergence analysis
On-line přístup:http://www.sciencedirect.com/science/article/pii/S2590037425001232
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