Forecasting the behavior of fractional order Bloch equations appearing in NMR flow via a hybrid computational technique

VP Dubey, J Singh, AM Alshehri, S Dubey… - Chaos, Solitons & …, 2022 - Elsevier
In this paper, we present an efficient computational approach named as Sumudu residual
power series method (SRPSM) to solve fractional Bloch equations appearing in an NMR …

Convective heat and mass transfer in third-grade fluid with Darcy–Forchheimer relation in the presence of thermal-diffusion and diffusion-thermo effects over an …

A Abbas, R Shafqat, MB Jeelani, NH Alharthi - Processes, 2022 - mdpi.com
The current study aims to investigate the thermal-diffusion and diffusion-thermo effects on
heat and mass transfer in third-grade fluid with Darcy–Forchheimer relation impact over an …

Investigation of fractional nonlinear regularized long-wave models via novel techniques

M Naeem, H Yasmin, R Shah, NA Shah, K Nonlaopon - Symmetry, 2023 - mdpi.com
The main goal of the current work is to develop numerical approaches that use the Yang
transform, the homotopy perturbation method (HPM), and the Adomian decomposition …

On averaging principle for Caputo–Hadamard fractional stochastic differential pantograph equation

M Mouy, H Boulares, S Alshammari, M Alshammari… - Fractal and …, 2022 - mdpi.com
In this paper, we studied an averaging principle for Caputo–Hadamard fractional stochastic
differential pantograph equation (FSDPEs) driven by Brownian motion. In light of some …

[HTML][HTML] The dissipative effect of Caputo–time-fractional derivatives and its implications for the solutions of nonlinear wave equations

T Bountis, J Cantisán, J Cuevas-Maraver… - … Differential Equations in …, 2024 - Elsevier
In honor of the great Russian mathematician AN Kolmogorov, we would like to draw
attention in the present paper to a curious mathematical observation concerning fractional …

[HTML][HTML] A GPU-accelerated Lagrangian method for solving the Liouville equation in random differential equation systems

VJ Bevia, S Blanes, JC Cortés, N Kopylov… - Applied Numerical …, 2025 - Elsevier
This work presents and analyzes a numerical approach to efficiently solve the Liouville
equation in the context of random ODEs using GPGPUs. Our method combines wavelet …

[HTML][HTML] An efficient dissipation-preserving numerical scheme to solve a caputo–riesz time-space-fractional nonlinear wave equation

JE Macías-Díaz, T Bountis - Fractal and Fractional, 2022 - mdpi.com
For the first time, a new dissipation-preserving scheme is proposed and analyzed to solve a
Caputo–Riesz time-space-fractional multidimensional nonlinear wave equation with …

[HTML][HTML] A novel approach to approximate solution of time fractional gas dynamics equation with Atangana–Baleanu derivative

R Noureen, MK Iqbal, M Asgir, B Almohsen… - Alexandria Engineering …, 2025 - Elsevier
This research paper investigates a numerical scheme based on cubic B-spline functions for
solving the time fractional gas dynamics equation incorporating the Atangana–Baleanu …

A semi-analytical solutions of the multi-dimensional time-fractional Klein-Gordon equations using residual power series method

RK Meena, S Kumar - Physica Scripta, 2024 - iopscience.iop.org
This study presents a novel approach to getting a semi-analytical solution to the multi-
dimensional time-fractional linear and nonlinear Klein–Gordon equations with appropriate …

Sensitivity analysis of emerging parameters in the presence of thermal radiation on magnetohydrodynamic nanofluids via wavelets

S Pandit, S Sharma - Engineering with Computers, 2022 - Springer
The current article investigates magnetohydrodynamics nanofluid flow with radiation effect
between two horizontal rotating plates numerically using scale-3 Haar wavelets. The …