A fast collocation method for solving the weakly singular fractional integro-differential equation

M Taghipour, H Aminikhah - Computational and Applied Mathematics, 2022 - Springer
In the present paper, we propose a spectral collocation method based on Pell polynomials
to obtain the solution of a variable-order fractional integro-differential equation with a weakly …

On the approximate solution of partial integro-differential equations using the pseudospectral method based on Chebyshev cardinal functions

F Tchier, I Dassios, F Tawfiq, L Ragoub - Mathematics, 2021 - mdpi.com
In this paper, we apply the pseudospectral method based on the Chebyshev cardinal
function to solve the parabolic partial integro-differential equations (PIDEs). Since these …

Application of Local Integrated Radial Basis Function Method for Solving System of Fredholm Integro-Differential Equations

Y Ordokhani, A Ebrahimijahan - Iranian Journal of Science, 2024 - Springer
This paper thoroughly examines the Local Integrated Radial Basis Function (LIRBF)
method's performance in addressing linear systems and first-to higher-order Fredholm …

An Actuated Computational Method for Treating Parabolic Partial Delay Integro-Differential Equations Constrained by Infinite Boundary

ÖK Kürkçü - Mediterranean Journal of Mathematics, 2023 - Springer
For the first time via this study, the ultimate effort is inclined to numerically solve one-
dimensional parabolic partial integro-differential equations with spatial–temporal delays and …

A compatible Hermite–Taylor matrix-collocation technique with convergence test for second-order partial integro-differential equations containing two independent …

E Yalçın, M Sezer - Mathematical Sciences, 2022 - Springer
The aim of this study is to offer a compatible numerical technique to solve second-order
linear partial integro-differential equations with variable (functional) bounds, including two …

[PDF][PDF] New adaptative numerical algorithm for solving partial integro-differential equations

R Zeghdane - Authorea Preprints, 2023 - pdfs.semanticscholar.org
The paper introduces an acurrate numerical appraoch based on orthonormal Bernoulli
polynomials for solving parabolic partial integro-differential equations (PIDEs). This type of …