The Numerical Validation of the Adomian Decomposition Method for Solving Volterra Integral Equation with Discontinuous Kernels Using the CESTAC Method

The Numerical Validation of the Adomian Decomposition Method for Solving Volterra Integral Equation with Discontinuous Kernels Using the CESTAC Method

The aim of this paper is to present a new method and the tool to validate the numerical results of the Volterra integral equation with discontinuous kernels in linear and non-linear forms obtained from the Adomian decomposition method. Because of disadvantages of the traditional absolute error to sh...

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Bibliographic Details
Main Authors: Samad Noeiaghdam, Denis Sidorov, Abdul-Majid Wazwaz, Nikolai Sidorov, Valery Sizikov
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Mathematics
Subjects:
volterra integral equation
discontinuous kernel
Adomian decomposition method
CESTAC method
CADNA library
floating-point arithmetic
Online Access:https://www.mdpi.com/2227-7390/9/3/260

Internet

https://www.mdpi.com/2227-7390/9/3/260

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