Journal profile · Mathematics-Analysis
Partial Differential Equations in Applied Mathematics
ISSN 2666-8181 · Elsevier · Netherlands
Partial Differential Equations in Applied Mathematics: fully open access; APC about USD 1,800; review about 143 days (submission to acceptance, publisher); 276 articles in 2025; indexed in Scopus.
Scope
Aims, scope and focus
Partial Differential Equations in Applied Mathematics is published by Elsevier. By OpenAlex counts of its recent articles, its largest topics are Fractional Differential Equations Solutions, Nonlinear Waves and Solitons and Nonlinear Differential Equations Analysis, together about 35.2% of its articles. Its main subfields are Computational Mechanics. (generated from OpenAlex topic counts and CAS ranking data)
Partial Differential Equations in Applied Mathematics provides a platform for the rapid circulation of original research in applied mathematics and applied sciences by utilizing partial differential equations and related techniques. Contributions on analytical and numerical approaches are both encouraged. All manuscripts should be written to be accessible to a broad scientific audience, who are interested in partial differential equations and their applications in the more mathematical aspects of physics and engineering sciences. Suitability of any paper is at the discretion of the editors. The covered topics include, but are not limited to, existence, uniqueness, well-posedness and long-time asymptotics for the solutions of nonlinear PDEs, integrability and soliton theory (including inverse scattering method, dressing method, Hirota’s method, Darboux and Backlund transformations, d-bar problem, Riemann-Hilbert problem, soliton hierarchies, Painlevé analysis, initial and boundary value problems for integrable systems), explicit solutions in the form of lumps, kinks, peakons, breathers, rogue waves, shock waves, etc. Contributions devoted to spectral theory and PDEs, Lie symmetry, Lagrangian, Hamiltonian, or geometric methods for PDEs are welcome.
From the journal's Aims & Scope
Research area (LetPub): Mathematics-Analysis
Editor-in-chief Joachim EscherPublisher website
Editorial board by country: 6 in mainland China (about 18%); most named United States 7, Mainland China 6, United Kingdom 5, Taiwan, China 2, Japan 2 (34 members with a country) Editorial board ↗Publisher website ·
Main research topics OpenAlex counts of recent articles; shares are approximate
- Fractional Differential Equations SolutionsMathematics15.1%
- Nonlinear Waves and SolitonsPhysics and Astronomy12.2%
- Nonlinear Differential Equations AnalysisMathematics7.9%
- Advanced Mathematical Physics ProblemsMathematics7.9%
- Nanofluid Flow and Heat TransferEngineering7.7%
- Heat Transfer and Numerical MethodsEngineering6.9%
- Differential Equations and Boundary ProblemsMathematics5.6%
- Mathematical and Theoretical Epidemiology and Ecology ModelsMedicine5%
Rankings & indexing
CAS ranking and database indexing
CAS Journal Ranking
CAS Journal Ranking, upgraded edition (March 2025)Not covered
Not covered by this edition.
CAS Xinrui Journal Ranking (March 2026)Not covered
Not covered by this edition.
CAS Journal Ranking, previous upgraded edition (December 2023)Not covered
Not covered by this edition.
CiteScore quartiles (Scopus, June 2026 release)
| Subject | Quartile | Rank | Percentile |
|---|---|---|---|
| Analysis | Q1 | 8/210 | 96th |
| Applied Mathematics | Q1 | 60/680 | 91st |
Scopus ranks journals by CiteScore within each subject: the 75th percentile and above is Q1, then a quartile every 25 points. A different system from the CAS zones.LetPub
Database indexing
ScopusDOAJLetPub
International journal early-warning lists: not listed in any editionLetPub
Editions, and major and minor categories, are shown separately and never merged into one zone; check which edition your institution uses before you submit or report.
Metrics
Impact metrics and publication volume
- CiteScore 2026-06
- 6.6LetPub ·
- CiteScore (publisher)
- 6.6Publisher website ·
- SJR 2026-06
- 0.66LetPub ·
- SNIP 2026-06
- 1.3LetPub ·
- h-index
- 42OpenAlex ·
- i10-index
- 340OpenAlex ·
- 2-year mean citedness
- 5.6OpenAlex ·
- Share of gold OA articles
- 0%LetPub ·
Articles by year OpenAlex count · 1,170 in total · the current year is incomplete
| Year | Articles | Open access | Citations |
|---|---|---|---|
| 2026 | 45 | 45 | 2,237 |
| 2025 | 276 | 276 | 3,537 |
| 2024 | 442 | 442 | 2,433 |
| 2023 | 126 | 126 | 1,556 |
| 2022 | 133 | 133 | 948 |
| 2021 | 128 | 128 | 209 |
Sources count differently and were observed at different times, so each source's own value is kept; "publisher" marks figures from the journal's website.
Review & acceptance
Review time and acceptance
Publisher-reported review time from the journal's website
143 dayssubmission to acceptance · community reports about 14 weeks
The publisher's own definition applies; dates from this journal's articles in the last 24 months are not available yet, so the publisher's figure is used.
Figures by source
- Average review time (community reports)
- about 14 weeksLetPub ·
- Submission to first decision
- 15 daysPublisher website ·
- First decision after review
- 77 daysPublisher website ·
- Submission to acceptance
- 143 daysPublisher website ·
- Acceptance to publication
- 8 daysPublisher website ·
- Submission to publication (journal-reported)
- about 22 weeksDOAJ ·
- Peer review
- Single anonymous peer reviewDOAJ
Community reports come from authors' own submissions (confidence 0.5) and are not a promise from the journal; for publisher figures, the journal's own definitions apply.
Fees & open access
APC and open-access policy
Fully open accessDOAJ
Every article is open access; authors usually pay an article processing charge (APC).
| Source | APC | Fee waiver | License | Observed |
|---|---|---|---|---|
| DOAJ | USD 1,800 | Yes | CC BY, CC BY-NC, CC BY-NC-ND | |
| OpenAlex | USD 1,470 / EUR 1,380 / GBP 1,180 / JPY 182,320 | — | — | |
| LetPub | USD 1,000 | Yes | — | |
| Publisher website | USD 2,210 | — | — |
The journal's website is authoritative for fees; sources were observed at different times and each keeps its own value, without averaging.
Submission
Article types and submission policies (journal website)
Open calls for papers1, by deadline
- PDEs at MDS 2026Deadline
What to prepare6 items from the author guidelines
- Abstract
- ≤ 250 words
- Keywords
- 1–7
- Reference style
- AMA
- Templates
- LaTeX and Word
- First submission
- Free format: the journal's layout is not required
- Highlights
- Optional
Article types accepted3
- full paperThe wide scope of the journal provides a publication outlet for all applied mathematical-related research.There are no strict formatting requirements (on length…Length not stated
- full research paperThe wide scope of the journal provides a publication outlet for all applied mathematical-related research.There are no strict formatting requirements (on length…Length not stated
- full research papersFull research papers: complete papers reporting new research results. Full papers should contain a sound analysis of the work, provide a thorough context and in…Length not stated
Policy excerpts from the journal's websiteAI use, Authorship, Conflicts of interest, License & copyright, Open access, Peer review, Preprints
- AI use Declaration of generative AI use
Authors must declare the use of generative AI tools in the manuscript preparation process upon submission of the paper.Generative AI and AI-assisted technologies (“AI tools”) have been rapidly adopted in research and scholarly publishing, offering significant benefits while requiring clear standards for responsible and transparent use.Authors preparing a manuscript for this journal may use AI tool…
Source ↗Publisher website ·- Authorship Group authorship
Group authorship refers to the attribution of an article to a defined and named group of authors whose members have contributed to the work. Examples include research consortia, clinical trial groups, collaborative networks, task forces or working groups, expert panels or consensus groups, and participatory research groups. Group authorship must be declared on the title page at submission. When av…
Source ↗Publisher website ·- Conflicts of interest Declaration of competing interests
All authors must disclose any financial and personal relationships with other people or organizations that could inappropriately influence or bias their work. Examples of potential competing interests include:EmploymentConsultanciesStock ownershipHonorariaPaid expert testimonyPatent applications or registrationsGrants or any other fundingAffiliation with the journal as an Editor or Advisory Board …
Source ↗Publisher website ·- License & copyright License options
Authors will be offered open access user license options which will determine how you, and third parties, can reuse your open access article. We advise that you review these options and any funding body license requirements before selecting a license option.
Source ↗Publisher website ·- Open access Open access
We refer you to our open access information page to learn about open access options for this journal.
Source ↗Publisher website ·- Peer review Peer review
Single anonymized peer review Model summary
This journal follows a single anonymized review process. Your submission will initially be assessed by our editors. If your submission is deemed suitable, it will typically be sent to be reviewed by a minimum of two reviewers for an independent expert assessment of the scientific quality. The decision as to whether your article is accepted or rejected for publication will be made by our editors.Re…
Source ↗Publisher website ·- Preprints Preprints
Preprint sharingAuthors may share preprints in line with Elsevier's article sharing policy. Sharing preprints, such as on a preprint server, will not count as prior publication.We advise you to read our policy on multiple, redundant or concurrent publication.
Source ↗Publisher website ·
Excerpts are quoted from the journal's website; "model summary" lines are written by Workers AI and checked against the text. The journal's website is authoritative.
Before you submit
Five checks before submitting to Partial Differential Equations in Applied Mathematics
- 1ScopeRecent output centres on Fractional Differential Equations Solutions, Nonlinear Waves and Solitons.Check scope
- 2Article type and formatAbstract: ≤ 250 words; Keywords: 1–7; Reference style: AMA.Author guidelines ↗
- 3English languagePolish grammar and academic style before you submit: it lowers the risk of rejection for language and improves your chances of acceptance.
- 4FeesUSD 1,800 (DOAJ), waivers availableFee details
- 5Expected review time143 days · Publisher-reported, submission to acceptance · community reports about 14 weeksReview data
The checks are built from this page's data.
Profile
Publication details and official links
- Publisher
- Elsevier
- Country or region
- Netherlands
- Language
- English
- ISSN
- 2666-8181
- Official links
- Journal homepage ↗DOAJ
- Submission system ↗Publisher website
- Author guidelines ↗DOAJ
- Aims & Scope ↗DOAJ
- Special issues ↗Publisher website
- APC information ↗DOAJ
- Fee waivers ↗DOAJ
- Open access statement ↗DOAJ
- License & copyright ↗DOAJ
- Peer review process ↗DOAJ
- Editorial board ↗DOAJ
- Plagiarism policy ↗DOAJ
FAQ
Frequently asked questions about Partial Differential Equations in Applied Mathematics
How long does peer review take at Partial Differential Equations in Applied Mathematics?
The publisher reports about 143 days (submission to acceptance); authors report an average review time of about 14 weeks. Article statistics cover accepted papers only, publisher figures follow the journal's own definitions, and community reports come from authors' own submissions; none is a promise from the journal.
What are the manuscript requirements of Partial Differential Equations in Applied Mathematics?
According to the journal's author guidelines: Abstract: ≤ 250 words; Keywords: 1–7; Reference style: AMA; Templates: LaTeX and Word; First submission: Free format: the journal's layout is not required; Highlights: Optional. A model extracted these from the author guidelines and each was checked against the text; check the latest version on the journal's website before submitting.
Where are the editorial board members of Partial Differential Equations in Applied Mathematics based?
Of the 34 board members whose country the journal's board page names, 6 (about 18%) are in mainland China; the countries named most often are United States (7), Mainland China (6) and United Kingdom (5). Counted from the institutions listed on the board page; for reference only.
Which databases index Partial Differential Equations in Applied Mathematics?
According to LetPub and DOAJ records, Partial Differential Equations in Applied Mathematics is indexed in Scopus and DOAJ.
Is Partial Differential Equations in Applied Mathematics open access, and what is the APC?
Partial Differential Equations in Applied Mathematics is a fully open-access journal. APC about USD 1,800.
Sources and updates
The facts on this page come from LetPub, Publisher website, OpenAlex, DOAJ; every figure is tagged with its source and the date it was observed, and conflicting values are kept per source. LetPub source page: view ↗ (archived 2026-08-26). Last updated: .