Numerical and Spectral Methods for Solving Differential Equations: Advances and Applications

Deadline for manuscript submissions: 30 June 2025

 

Special Issue Editors

 

Dr. Ramy Mahmoud Hafez Website  E-Mail: r_mhafez@yahoo.com
Guest Editor
Matrouh University, Egypt
Interests:
Numerical Analysis, Fractional Differential, Spectral Methods

 

Special Issue Information

 

This Special Issue aims to explore the development and application of numerical and spectral techniques in solving differential equations, emphasizing the following:


1 . Innovative Methods: Advancing traditional numerical techniques and introducing novel spectral methods.
2. Applications: Real-world applications in engineering, physics, finance, climate modeling, and beyond.
3. Computational Aspects: High-performance algorithms, error analysis, and convergence studies.
4. Comparative Studies: Evaluating efficiency and accuracy between spectral and traditional numerical methods.


The issue encourages submissions on both theoretical advances and computational implementations, with a multidisciplinary focus.

 

Keywords:

Fixed point technique

Integral equation

contractive mapping

fractional differential equations

Best proximity point

approximate controllability

 

Published Papers