[HTML][HTML] A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order

Y Wang, SS Ezz-Eldien, AA Aldraiweesh - Journal of Computational and …, 2020 - Elsevier
In this manuscript, a new numerical approach is developed for approximating the solution of
the one-dimensional and two-dimensional Volterra integro-differential equations (2D-VIDEs) …

Solution of the Single Degree of Freedom System Using Bernoulli Collocation Method

KE Bicer - Scientific Research Communications, 2025 - scientificrc.org
The fundamental subject of a single degree of freedom system's free vibration is essential in
the field of mechanical vibrations, with applications in a wide range of engineering fields …

A Combined Numerical Approach Based upon Genocchi Series for Solution of Functional Integro-Differential Equations

Ü Başar, M Sezer - 2nd International Students Science Congress - books.google.com
In this article, we introduce a new operational matrix method based on Genocchi series and
collocation points. This method is developed for the approximate solution of high-order …

Improved Jacobi Matrix Method for Solving Multi-Functional Integro-Differential Equations with Mixed Delays

MM Bahşı, M Çevik - Celal Bayar University Journal of Science, 2020 - dergipark.org.tr
In this study, we suggested a novel approach for solving multi-functional integro-differential
equations with mixed delays, by using orthogonal Jacobi polynomials. These equations …