COMPARISON OF METHODS IN THE SPECTRAL NUMERICAL ANALYSIS OF MAGNETO-CONVECTIVE VISCOELASTIC BIOFLUID FLOW THROUGH PORO-ELASTIC MEDIA

Abstract

This study presents a comparative analysis of three numerical methods- Spectral Quasi-Linearization Method (SQLM), Spectral Chebyshev Collocation Method (SCCM) and the Shooting Runge-Kutta (Shooting RK4)- for the spectral numerical analysis of magneto-convective viscoelastic biofluid flow through poroelastic media. The research focuses on the efficacy, accuracy, and computational efficiency of each method in solving the complex governing equations of magneto-convective viscoelastic biofluid dynamics in porous and elastic environments. Through a series of benchmark problems, the performance of each method is evaluated in terms of convergence rates, error analysis, and computational cost. The results provide valuable insights into the suitability and limitations of these methods for simulating biofluid flows in biomedical and engineering applications. The findings suggest optimal scenarios for the application of each method, contributing to the advancement of numerical techniques in the study of magneto-convective viscoelastic flows in poroelastic media.