Numerical Investigation of Fractional-Order Fornberg–Whitham Equations in the Framework of Aboodh Transformation

S Noor, MA Hammad, R Shah, AW Alrowaily… - Symmetry, 2023 - mdpi.com
In this investigation, the fractional Fornberg–Whitham equation (FFWE) is solved and
analyzed via the variational iteration method (VIM) and Adomian decomposition method …

A design of novel Gudermannian neural networks for the nonlinear multi-pantograph delay differential singular model

Z Sabir, SE Alhazmi - Physica Scripta, 2023 - iopscience.iop.org
In this paper, a new stochastic numerical platform through the Gudermannian neural
network (GNN) based intelligent computing solver (GNNICS) is accessible for solving the …

[HTML][HTML] A mathematical modeling of COVID-19 treatment strategies utilizing the Laplace Adomian decomposition method

MO Olayiwola, AI Alaje, AO Yunus… - Results in Control and …, 2024 - Elsevier
This study aims to assess the effectiveness of recent advancements in COVID-19 treatment,
specifically antiviral medicines and monoclonal antibodies, in curbing the virus's spread. We …

Approximate analytical solution of the linear and nonlinear multi-pantograph delay differential equations

MSM Bahgat - Physica Scripta, 2020 - iopscience.iop.org
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 …

The comparison study of hybrid method with RDTM for solving Rosenau-Hyman equation

D Arslan - Applied Mathematics and Nonlinear Sciences, 2020 - sciendo.com
In this paper, the hybrid method (differential transform and finite difference methods) and the
RDTM (reduced differential transform method) are implemented to solve Rosenau-Hyman …

Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional …

SR Moosavi Noori, N Taghizadeh - Advances in Difference Equations, 2020 - Springer
In this study, a hybrid technique for improving the differential transform method (DTM),
namely the modified differential transform method (MDTM) expressed as a combination of …

[HTML][HTML] Solution of a system of delay differential equations of multi pantograph type

S Davaeifar, J Rashidinia - Journal of Taibah University for Science, 2017 - Elsevier
A collocation method is proposed to obtain an approximate solution of a system of multi
pantograph type delay differential equations with variable coefficients subject to the initial …

[PDF][PDF] Approximate solutions of multi-pantograph type delay differential equations using multistage optimal homotopy asymptotic method

NR Anakira, A Jameel, AK Alomari… - Journal of …, 2018 - pdfs.semanticscholar.org
In this paper, a numerical procedure called multistage optimal homotopy asymptotic method
(MOHAM) is introduced to solve multipantograph equations with time delay. It was shown …

[PDF][PDF] Application of adomian decomposition method on a mathematical model of malaria

AI Abioye, OJ Peter, AA Ayoade… - Advances in …, 2020 - academia.edu
In this paper, we consider a deterministic model of malaria transmission. Adomian
decomposition method (ADM) is used to calculate an approximation to the solution of the …

[PDF][PDF] A new approach for solving multi-pantograph type delay differential equations.

N Anakira, A Jameel, M Hijazi… - International Journal of …, 2022 - researchgate.net
In this paper, a modified procedure based on the residual power series method (RPSM) was
implemented to achieve approximate solution with high degree of accuracy for a system of …