This paper will solve one of the fractional mathematical physics models, a one-dimensional
time-fractional differential equation, by utilizing the second-order quarter-sweep finite …

Research into the recent developments for solving fractional mathematical equations
requires accurate and efficient numerical methods. Although many numerical methods …

In this study, the numerical solution of a space-fractional parabolic partial differential
equation was considered. The investigation of the solution was made by focusing on the …

Harmonic potential fields are commonly used as guidance in a global approach for self-
directed robot pathfinding. These harmonic potentials are generated using Laplace's …

This paper considers a numerical investigation on the solution of a one-dimensional linear
space-fractional partial differential equation with the application of an unconditionally implicit …

This paper studies the combination of the quarter-sweep approach with the Newton-PKSOR
iteration to solve the nonlinear Fredholm integral equations of the second kind. We call them …

Path planning is one of the crucial criteria for an unmanned aerial vehicle (UAV) in providing
a safe path to fly from any location to the specified goal. Global approach to autonomous …

With the rapid development of big data and artificial intelligence technologies, we are facing
increasingly complex data and decision-making problems. Solving large-scale multi …

In this study, numerical approximation is used to tackle the one-dimensional nonlinear
porous media problem. The emphasis is on using a quarter-sweep finite difference …

In this research, we propose the approximate solution of the time-fractional diffusion
equation based on a quarter-sweep implicit finite difference approximation equation. To …