Error Estimation of the Homotopy Perturbation Method to Solve Second Kind Volterra Integral Equations with Piecewise Smooth Kernels: Application of the CADNA Library

Error Estimation of the Homotopy Perturbation Method to Solve Second Kind Volterra Integral Equations with Piecewise Smooth Kernels: Application of the CADNA Library

This paper studies the second kind linear Volterra integral equations (IEs) with a discontinuous kernel obtained from the load leveling and energy system problems. For solving this problem, we propose the homotopy perturbation method (HPM). We then discuss the convergence theorem and the error analy...

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Bibliographic Details
Main Authors: Samad Noeiaghdam, Aliona Dreglea, Jihuan He, Zakieh Avazzadeh, Muhammad Suleman, Mohammad Ali Fariborzi Araghi, Denis N. Sidorov, Nikolai Sidorov
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Symmetry
Subjects:
stochastic arithmetic
homotopy perturbation method
CESTAC method
CADNA library
Volterra integral equation with piecewise continuous kernel
Online Access:https://www.mdpi.com/2073-8994/12/10/1730

Internet

https://www.mdpi.com/2073-8994/12/10/1730

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