The purpose of this study is to introduce a stochastic computing solver for the multi-
pantograph delay differential equation (MP-DDE). The MP-DDE is not easy to solve due to …

In this paper, a new stochastic numerical platform through the Gudermannian neural
network (GNN) based intelligent computing solver (GNNICS) is accessible for solving the …

This research work is to design a neural-swarming heuristic procedure for numerical
investigations of Singular Multi-Pantograph Delay Differential (SMP-DD) equation by …

In this paper, a Galerkin-like approach is presented to numerically solve multi-pantograph
type delay differential equations. The method includes taking inner product of a set of …

This paper investigates analytical approximate solutions for a system of multipantograph
delay differential equations using the residual power series method (RPSM), which obtains …

The present work is to solve the nonlinear singular models using the framework of the
stochastic computing approaches. The purpose of these investigations is not only focused to …

The pantograph equation is a basic model in the field of delay differential equations. This
paper deals with an extended version of the pantograph delay equation by incorporating a …

In this paper, we present a new method for solving singular twopoint boundary value
problem for multi-pantograph delay differential equation having singular coefficients. Its …

The current study is related to present a novel neuro-swarming intelligent heuristic for
nonlinear second-order Lane–Emden multi-pantograph delay differential (NSO-LE-MPDD) …

In this paper, a combination of Laplace transform and variational iteration method are
applied to get an approximate analytic solution for the multi-pantograph delay with higher …