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Special issue · Journal of Mathematics and StatisticsPublished

Advanced Numerical Methods for Differential Equations in Applied Sciences

Guest editors: Mohamed Ibrahim Syam, Qasem M. Al-Mdallal, Youssef El Khatib and Marwan Alquran · ANMDE-21All its articles are published.

Articles in this special issue

Each accepted article is published in the journal’s next regular issue as soon as its author approves the proof, and appears here.

  1. Research Article Open accessExistence Results for a Class of Nonlinear Hadamard Fractional with p-Laplacian Operator Differential EquationsSamah Horriguepp. 61–72 · published 2 Oct 2021View PDF6,886 accesses
  2. Research Article Open accessOn the Valuation of Currency Options in Stressed MarketsAbdulnasser Hatemi-J, Youssef El-Khatibpp. 83–87 · published 24 Dec 2021View PDF6,499 accesses

The call for papers

Read the original call: description and topics

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.

Important dates

  1. Call opens22 Mar 2021 · done
  2. Submission deadline15 Oct 2021 · done
  3. First-round decisions by15 Jan 2022 · done
  4. Collection complete27 Feb 2022 · done

Guest editors

  • Mohamed Ibrahim Syam · lead guest editorDepartment 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