Convergence analysis and numerical implementation of projection methods for solving classical and fractional Volterra integro-differential equations

In this article, we discuss the convergence analysis of the classical first-order and fractional-order Volterra integro-differential equations of the second kind with a smooth kernel by reducing them into a system of fractional Fredholm integro-differential equations (FFIDEs). For that, we first ref...

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Vydáno v:	Mathematics and computers in simulation Ročník 225; s. 889 - 913
Hlavní autoři:	Ruby, Mandal, Moumita
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier B.V 01.11.2024
Témata:	Caputo fractional derivative Convergence rates Galerkin method Multi-Galerkin method Superconvergence results Volterra integro-differential equations Superconvergence results Galerkin method Multi-Galerkin method Caputo fractional derivative Volterra integro-differential equations Convergence rates
ISSN:	0378-4754
On-line přístup:	Získat plný text
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