Numerical Stability Investigation of Oscillatory MHD Flow with Radiation Effects Using Von Neumann  Method

Author(s)	Dr. Saravanan B, Dr. Vijayalakshmi K, Dr. Satheesh Kumar G, Ms. Arivukkodi D
Country	India
Abstract	This work examines the numerical stability of an implicit finite difference approach applied to unsteady magnetohydrodynamic (MHD) radiative flow over an oscillating vertical plate in the presence of mass diffusion. Stability is assessed using a Von Neumann matrix analysis, where the amplification matrix is formulated and its spectral characteristics are evaluated. The findings indicate that the numerical scheme remains unconditionally stable, maintaining bounded amplification across all choices of discretization parameters. Additionally, the influence of key physical factors such as thermal radiation, magnetic field strength, and diffusion is investigated, demonstrating that the stability of the method is retained even under significant physical effects. Overall, the implicit scheme proves to be a robust and dependable tool for modeling coupled MHD heat and mass transfer phenomena.
Keywords	MHD flow; Thermal Radiation; Oscillating Vertical Plate; Implicit Finite Difference; Von Neumann Stability; Amplification factor; Numerical convergence.
Field	Engineering
Published In	Volume 8, Issue 3, May-June 2026
Published On	2026-06-02
DOI	https://doi.org/10.36948/ijfmr.2026.v08i03.80184

About IJFMR Fees & Payment Current Issue Publication Archive	Submit Research Paper Track Submission Status Publication Guidelines Publication Ethics Peer Review & Plagiarism	Join as a Reviewer Editors & Reviewers Reviewer Referral Program Get Reviewer Membership Certi.	Website/Journal Policies Usage Policy Content Policies Privacy Policy

Contact Us		+91-9687-828-838	editor@ijfmr.com

International Journal For Multidisciplinary Research