Extension of the First-Order Recursive Filters Method to Non-Linear Second-Kind Volterra Integral Equations

Extension of the First-Order Recursive Filters Method to Non-Linear Second-Kind Volterra Integral Equations

A new numerical method for solving Volterra non-linear convolution integral equations (NLCVIEs) of the second kind is presented in this work. This new approach, named IIRFM-A, is based on the combined use of the Laplace transformation, a first-order decomposition, a bilinear transformation, and the...

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Bibliographic Details
Main Author: Rodolphe Heyd
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematics
Subjects:
non-linear Volterra integral equations
convolutional and multiplicative kernels
first-order infinite impulse response (IIR) filters
Adomian decomposition method (ADM)
Adomian polynomials
Shanks acceleration
Online Access:https://www.mdpi.com/2227-7390/12/22/3612
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