Numerical Methods for Partial Differential Equations

Aims & Scope

An international journal that aims to cover research into the development and analysis of new methods for the numerical solution of partial differential equations, it is intended that it be readily readable by and directed to a broad spectrum of researchers into numerical methods for partial differential equations throughout science and engineering.

The numerical methods and techniques themselves are emphasized rather than the specific applications.

The Journal seeks to be interdisciplinary, while retaining the common thread of applied numerical analysis.

View Aims & Scope

---

Metrics & Ranking

Impact Factor

Year	Value
2025	1.7
2024	2.10

SJR (SCImago Journal Rank)

Year	Value
2024	0.842

Quartile

Year	Value
2024	Q1

h-index

Year	Value
2024	75

Journal Rank

Year	Value
2024	6298

Journal Citation Indicator

Year	Value
2024	4812

---

---

Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Web of Science

---

Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

---

Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• Variational formulation for the stationary fractional advection dispersion equation

  Citation: 593

  Authors: Vincent J., John Paul

• Solving nonlinear fractional partial differential equations using the homotopy analysis method

  Citation: 565

  Authors: Mehdi, Jalil, Abbas

• Simple nonconforming quadrilateral Stokes element

  Citation: 457

  Authors: R., S.

• H-p clouds—anh-p meshless method

  Citation: 446

  Authors: C. Armando, J. Tinsley

• Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers

  Citation: 305

  Authors: Alexander, Eitan

• Exponential convergence and <i>H‐c</i> multiquadric collocation method for partial differential equations

  Citation: 302

  Authors: A. H.‐D., M. A., E. J., G.

• Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu

  Citation: 276

  Authors: Abdon, J. F.

• Discontinuous Galerkin approximations for elliptic problems

  Citation: 250

  Authors: F., G., D., P., A.

• Variational solution of fractional advection dispersion equations on bounded domains in ℝ^<i>d</i>

  Citation: 217

  Authors: Vincent J., John Paul

• A class of discontinuous Petrov–Galerkin methods. II. Optimal test functions

  Citation: 202

  Authors: L., J.

---