This thesis examines the influence of the Coriolis force on the accuracy and efficiency of shallow water equations (SWEs) simulations utilizing adaptive mesh refinement (AMR). Utilizing the open-source GeoClaw software, ...

Fractional differential equations have gained significant attention in various scientific and engineering disciplines due to their ability to model complex systems. The goal of this dissertation is to create a novel ...

The purpose of this dissertation is to analyze various algebraic invariants, including Stanley depth, depth, regularity, and the projective dimension of the quotient rings obtained from the bristled of some four and ...

The purpose of this dissertation is to analyze various algebraic properties, including Stanley depth, depth, regularity, and the projective dimension of the quotient rings obtained from the powers of edge ideals corresponding ...

Engineers and scientists have recently shown considerable interest in studying the f luid flow and heat transfer around elongating cylinders either for Newtonian or non Newtonian fluids. The interest in this topic ...

This thesis is based on applications of the discrete point symmetry transformations of ordinary and partial di erential equations. First we provide a complete list of discrete symmetry transformations of third order ...