主题词：Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations; Advanced Mathematical Physics Problems; Numerical methods in inverse problems; Mathematical functions and polynomials; Navier-Stokes equation solutions; Mathematical Analysis and Transform Methods; Advanced Harmonic Analysis Research; Sparse and Compressive Sensing Techniques; Nonlinear Differential Equations Analysis; Stability and Controllability of Differential Equations; Differential Equations and Numerical Methods; Differential Equations and Boundary Problems; Spectral Theory in Mathematical Physics; Image and Signal Denoising Methods; Neural Networks and Applications; Advanced Numerical Methods in Computational Mathematics; Gas Dynamics and Kinetic Theory; Nonlinear Waves and Solitons; Geometric Analysis and Curvature Flows; Computational Fluid Dynamics and Aerodynamics; Fractional Differential Equations Solutions; Advanced Mathematical Identities; Matrix Theory and Algorithms; Holomorphic and Operator Theory