Work

Numerical Simulation of Internal-Wave-Type Systems Under the Fuzzy Caputo Fractional Derivative

Year: 2025

Type: article

Abstract: This research examines the approximate solutions to the system of atmospheric internal-wave (AIW) fuzzy fractional partial differential equations with the gH-Caputo derivative. Atmospheric internal waves are a type of wave that occurs within the Earth’s atmosphere, typically in the lower atmosphere or boundary layer. Vertical displacements of air parcels cause them to occur due to various factors such as wind shear, buoyancy, and topographic effects. These waves can propagate horizontally and vertically and play an important role in atmospheric dynamics, including energy transport, momentum, and pollutants. Using the residual power series method (RPSM), we obtained new effective numerical solutions to the AIW equation system with gH-Caputo derivatives and fuzzy initial conditions. The RPSM solutions are compared with other numerical methods to examine the suggested method’s accuracy and efficiency. Illustrative examples and a comparative analysis of our approach with present methods are given.

Source: Symmetry

DOI: 10.3390/sym17122108

Authors: Sevda Atpinar, Rubayyi T. Alqahtani, Mehmet Şenol, Mehmet Gençyiğit

Institutions: Nevşehir Hacı Bektaş Veli University, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Al-Imam Muhammad Ibn Saud Islamic University