[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 …

A multi-objective particle swarm optimization for trajectory planning of fruit picking manipulator

X Cao, H Yan, Z Huang, S Ai, Y Xu, R Fu, X Zou - Agronomy, 2021 - mdpi.com
Stable, efficient and lossless fruit picking has always been a difficult problem, perplexing the
development of fruit automatic picking technology. In order to effectively solve this technical …

[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 …

Memory effect analysis using piecewise cubic B-spline of time fractional diffusion equation

M Shafiq, FA Abdullah, M Abbas, A Sm Alzaidi… - Fractals, 2022 - World Scientific
The purpose of this work is to study the memory effect analysis of Caputo–Fabrizio time
fractional diffusion equation by means of cubic B-spline functions. The Caputo–Fabrizio …

Extension of cubic B-spline for solving the time-fractional Allen–Cahn equation in the context of mathematical physics

M Fatima, RP Agarwal, M Abbas, PO Mohammed… - Computation, 2024 - mdpi.com
A B-spline is defined by the degree and quantity of knots, and it is observed to provide a
higher level of flexibility in curve and surface layout. The extended cubic B-spline (ExCBS) …

[HTML][HTML] Numerical solutions of advection diffusion equations involving Atangana–Baleanu time fractional derivative via cubic B-spline approximations

B Khan, M Abbas, ASM Alzaidi, FA Abdullah, MB Riaz - Results in Physics, 2022 - Elsevier
The B-spline or the basis spline function, is a piecewise polynomial function made up of
polynomials, its domain is subdivided by knots, and basis functions are non-zero on the …

A novel finite difference based numerical approach for Modified Atangana-Baleanu Caputo derivative

R Chawla, K Deswal, D Kumar, D Baleanu - 2022 - earsiv.cankaya.edu.tr
In this paper, a new approach is presented to investigate the time-fractional advection-
dispersion equation that is extensively used to study transport processes. The present …

Application of an Extended Cubic B-Spline to Find the Numerical Solution of the Generalized Nonlinear Time-Fractional Klein–Gordon Equation in Mathematical …

M Vivas-Cortez, MJ Huntul, M Khalid, M Shafiq… - Computation, 2024 - mdpi.com
A B-spline function is a series of flexible elements that are managed by a set of control
points to produce smooth curves. By using a variety of points, these functions make it …

Numerical investigation of the fractional diffusion wave equation with the Mittag–Leffler function

M Shafiq, M Abbas, EK El-Shewy… - Fractal and …, 2023 - mdpi.com
A spline is a sufficiently smooth piecewise curve. B-spline functions are powerful tools for
obtaining computational outcomes. They have also been utilized in computer graphics and …

[HTML][HTML] An effective extended cubic B-spline approach for solving time-fractional diffusion wave equation with exponential kernel

M Shafiq, A Fatima, M Abbas, M Alosaimi… - Alexandria Engineering …, 2025 - Elsevier
A spline is a curve that is composed of smooth segments. The B-spline functions are highly
effective tools for achieving the desired results in computational analysis. As a result of their …