In this study, the Laguerre wavelet-oriented numerical scheme for nonlinear first and second-
order delay differential equations (DDEs) is offered. The proposed technique is dependent …

In this research work, an effective Levenberg–Marquardt algorithm‐based artificial neural
network (LMA‐BANN) model is presented to find an accurate series solution for micropolar …

In nature, symmetry is all around us. The symmetry framework represents integer partial
differential equations and their fractional order in the sense of Caputo derivatives. This …

Many scientific phenomena are linked to wave problems. This paper presents an effective
and suitable technique for generating approximation solutions to multi-dimensional …

This paper presents the idea of the Sawi iterative scheme (SIS) to derive the analytical
solution of nonlinear delay differential equations (DDEqs). We apply the Sawi transform to …

In this paper, a new implementation based on the reproducing kernel method (RKM) without
the Gram–Schmidt orthogonalization for solving linear and nonlinear systems of second …

In this article, we have analytically proven that the integral equation in two dimensions (IE-
TD) of the second type has at least one solution by using Tychonoff's fixed point theorem …

In this paper, an efficient orthogonal neural network (ONN) approach is introduced to solve
the higher-order neutral delay differential equations (NDDEs) with variable coefficients and …

The main goal of this paper is to introduce a new scheme, known as the Aboodh homotopy
integral transform method (A HITM), for the approximate solution of wave problems in multi …

A new class of polynomials investigates the numerical solution of the fractional pantograph
delay ordinary differential equations. These polynomials are equipped with an auxiliary …