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

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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Bibliographic Details
Main Author: Martin Ndi Azese
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Scientific African
Subjects:
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
Online Access:http://www.sciencedirect.com/science/article/pii/S2468227624003855
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