Optimizing linear/non-linear Volterra-type integro-differential equations with Runge–Kutta 2 and 4 for time efficiency

A novel non-adaptative time-efficient (TE) numerical scheme based on the Runge–Kutta (RK) algorithm is devised for solving linear and non-linear Volterra-type integro-differential equations (VTIDE) characterized by a specific class of convolution memory, K(t,s)=aκ(t−s), where a,κ∈R. This kernel is c...

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Opis bibliograficzny

1. autor:	Martin Ndi Azese
Format:	Artigo
Język:	Inglês
Wydane:	Elsevier 2024-12-01
Seria:	Scientific African
Hasła przedmiotowe:	Special non-linear Volterra integro differential equation Runge Kutta scheme Numerical integration of convolution integrals Time efficient numerical schemes RK scheme on logistics equation Viscoelastic liquid IVP
Dostęp online:	http://www.sciencedirect.com/science/article/pii/S2468227624003855
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