Journal of Mathematics and Statistics

Advanced Numerical Methods for Differential Equations in Applied Sciences


The literature reveals that numerous real-life phenomena in applied sciences (such as physics, engineering, finance, medicine, etc.) can be modelled by highly nonlinear Differential Equations (DEs) or by  Stochastic Differential Equations (SDEs) with unknown analytical solutions. Therefore, the numerical solutions for such (DEs) and (SDEs) have received a huge attention from mathematicians, physicists, and engineers for the sake of approximating their analytical solutions.  

The main target of this special issue is to create a multidisciplinary forum of discussions on the most recent results in this field of research. More precisely, we will focus on recent advanced numerical studies on Differential Equations and Stochastic Differential Equations related to applied sciences. In addition, the well-developed analysis of existing numerical algorithms in terms of efficiency, applicability, convergence, stability and accuracy is of importance. A discussion of nontrivial numerical examples is encouraged.

Topics of interest include, but are not limited to:

  1. Numerical methods for Ordinary differential equations.
  2. Numerical methods for Partial differential equations.
  3. Numerical methods for Stochastic differential equations.
  4. Numerical methods for Fractional differential equations.
  5. Numerical methods for Fractional difference equations.
  6. Numerical methods for Fractional integro-differential equations.
  7. Numerical methods for fuzzy initial and boundary value problems.
  8. Mathematical control theory. Stochastic modelling.

Guest Editors

Mohamed Ibrahim SyamDepartment of Mathematical Sciences, UAE University, United Arab Emirates
Qasem M. Al-MdallalDepartment of Mathematical Sciences, UAE University, United Arab Emirates
Youssef El KhatibDepartment of Mathematical Sciences, UAE University, United Arab Emirates
Marwan AlquranDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Jordan

Published Articles

Research ArticleOpen Access
Samah Horrigue
Journal of Mathematics and Statistics 2021, 61-72
Published: 2 October 2021
Research ArticleOpen Access
Abdulnasser Hatemi-J and Youssef El-Khatib
Journal of Mathematics and Statistics 2021, 83-87
Published: 24 December 2021