Backward differentiation formula

en

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Backward differentiation formula

Quality:

Backward differentiation formula - numerical method for solving ordinary differential equations. Article “Backward differentiation formula” in English Wikipedia has 40.3 points for quality (as of July 1, 2025). The article contains 6 references and 8 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Backward differentiation formula”, its content was written by 22 registered users of English Wikipedia and edited by 47 registered Wikipedia users in all languages.

The article is cited 38 times in English Wikipedia and cited 56 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #85491 in June 2017
  • Global: #109004 in May 2007

The highest popularity rank from 2008:

  • Local (English): #274556 in December 2014
  • Global: #427517 in December 2014

There are 4 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Backward differentiation formula
40.335
2German (de)
BDF-Verfahren
18.4467
3Japanese (ja)
後退微分法
17.4498
4Italian (it)
Formula di differenziazione all'indietro
11.4594
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Backward differentiation formula" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Backward differentiation formula
400 143
2German (de)
BDF-Verfahren
73 413
3Japanese (ja)
後退微分法
8 511
4Italian (it)
Formula di differenziazione all'indietro
6 601
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Backward differentiation formula" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Backward differentiation formula
2 109
2German (de)
BDF-Verfahren
181
3Japanese (ja)
後退微分法
97
4Italian (it)
Formula di differenziazione all'indietro
35
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Backward differentiation formula" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Backward differentiation formula
22
2German (de)
BDF-Verfahren
20
3Japanese (ja)
後退微分法
4
4Italian (it)
Formula di differenziazione all'indietro
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Backward differentiation formula" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
BDF-Verfahren
0
2English (en)
Backward differentiation formula
0
3Italian (it)
Formula di differenziazione all'indietro
0
4Japanese (ja)
後退微分法
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Backward differentiation formula" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Backward differentiation formula
38
2German (de)
BDF-Verfahren
13
3Italian (it)
Formula di differenziazione all'indietro
4
4Japanese (ja)
後退微分法
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
BDF-Verfahren
enEnglish
Backward differentiation formula
itItalian
Formula di differenziazione all'indietro
jaJapanese
後退微分法

Popularity rank trends

Best Rank English:
#274556
12.2014
Global:
#427517
12.2014

AI rank trends

Best Rank English:
#85491
06.2017
Global:
#109004
05.2007

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Backward differentiation formula from Wikipedia articles about Linear multistep method, Stiff equation, Predictor–corrector method, BDF and Backward Euler method. Whereas reading the article about Backward differentiation formula people most often go to Wikipedia articles on Linear multistep method, Stiff equation, Backward Euler method, Lagrange polynomial and Numerical method for ordinary differential equations.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 10 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information