[HTML][HTML] Fractional simulation for Darcy-Forchheimer hybrid nanoliquid flow with partial slip over a spinning disk

YX Li, T Muhammad, M Bilal, MA Khan… - Alexandria Engineering …, 2021 - Elsevier
The present effort elaborates the fractional analyses for Darcy-Forchheimer hybrid
nanoliquid flow over a porous spinning disk. Temperature and concentration slip conditions …

[PDF][PDF] A novel fractional analytical technique for the time-space fractional equations appearing in oil pollution

P Jalili, B Jalili, A Shateri, DD Ganji - Int. J. Eng, 2022 - ije.ir
Oil spills in the seas and oceans cause pollution and have many destructive environmental
effects. The diffusion (parabolic) equations are the most reasonable option to model the …

[HTML][HTML] Numerical solutions of time fractional Burgers' equation involving Atangana–Baleanu derivative via cubic B-spline functions

M Shafiq, M Abbas, FA Abdullah, A Majeed… - Results in Physics, 2022 - Elsevier
The current paper uses the cubic B-spline functions and θ-weighted scheme to achieve
numerical solutions of the time fractional Burgers' equation with Atangana–Baleanu …

Splines solutions of boundary value problems that arises in sculpturing electrical process of motors with two rotating mechanism circuit

A Khalid, A Rehan, KS Nisar, MS Osman - Physica Scripta, 2021 - iopscience.iop.org
This study manages the numeric roots of the 7th-order linear & nonlinear boundary value
problems (BVPs) utilizing another CB (Cubic-B) spline strategy. Cubic Spline interpolation is …

Novel numerical approach based on modified extended cubic B-spline functions for solving non-linear time-fractional telegraph equation

T Akram, M Abbas, A Iqbal, D Baleanu, JH Asad - Symmetry, 2020 - mdpi.com
The telegraph model describes that the current and voltage waves can be reflected on a
wire, that symmetrical wave patterns can form along a line. A numerical study of these …

Numerical treatment of time-fractional Klein–Gordon equation using redefined extended cubic B-spline functions

M Amin, M Abbas, MK Iqbal, D Baleanu - Frontiers in Physics, 2020 - frontiersin.org
In this article we develop a numerical algorithm based on redefined extended cubic B-spline
functions to explore the approximate solution of the time-fractional Klein–Gordon equation …

Analysis and applications of the proportional Caputo derivative

A Akgül, D Baleanu - Advances in Difference Equations, 2021 - Springer
In this paper, we investigate the analysis of the proportional Caputo derivative that recently
has been constructed. We create some useful relations between this new derivative and …

[HTML][HTML] Numerical solutions of Atangana-Baleanu time-fractional advection diffusion equation via an extended cubic B-spline technique

A Umer, M Abbas, M Shafiq, FA Abdullah… - Alexandria Engineering …, 2023 - Elsevier
The B-spline function is made up of a set of smooth piecewise polynomials that are
controlled by a set of control points. A linear combination of B-spline basis of a particular …

An efficient technique based on cubic B-spline functions for solving time-fractional advection diffusion equation involving Atangana–Baleanu derivative

M Shafiq, M Abbas, KM Abualnaja, MJ Huntul… - Engineering with …, 2022 - Springer
The present paper deals with cubic B-spline approximation together with θ θ-weighted
scheme to obtain numerical solution of the time fractional advection diffusion equation using …

A novel numerical technique for solving time fractional nonlinear diffusion equations involving weak singularities

B Ghosh, J Mohapatra - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this work, an efficient numerical approximation for the solution of the time fractional
nonlinear diffuse interface model is studied. The solution to this problem has a weak …