Numerical solution of time fractional Burgers equation

Article Properties
  • Language
    English
  • DOI (url)
    10.1515/ausm-2015-0011
  • Publication Date
    2015/12/01
  • Journal
    Acta Universitatis Sapientiae, Mathematica
  • Indian UGC (journal)
  • Citations
    20
  • A. Esen Department of Mathematics, Faculty of Science and Art, Inönü University, Turkey
  • O. Tasbozan Department of Mathematics, Faculty of Science and Art, Mustafa Kemal University, Turkey
Abstract
Cite
Esen, A., and O. Tasbozan. “Numerical Solution of Time Fractional Burgers Equation”. Acta Universitatis Sapientiae, Mathematica, vol. 7, no. 2, 2015, pp. 167-85, https://doi.org/10.1515/ausm-2015-0011.
Esen, A., & Tasbozan, O. (2015). Numerical solution of time fractional Burgers equation. Acta Universitatis Sapientiae, Mathematica, 7(2), 167-185. https://doi.org/10.1515/ausm-2015-0011
Esen A, Tasbozan O. Numerical solution of time fractional Burgers equation. Acta Universitatis Sapientiae, Mathematica. 2015;7(2):167-85.
Journal Category
Science
Mathematics
Citations
Title Journal Journal Categories Citations Publication Date
A Meshfree Time-Splitting Approach for the Time-Fractional Burgers’ Equation

 Journal of Mathematics
  • Science: Mathematics
  • Science: Mathematics
 2023
A hybrid B-spline collocation technique for the Caputo time fractional nonlinear Burgers’ equation

 Beni-Suef University Journal of Basic and Applied Sciences
  • Medicine: Medicine (General)
  • Science
  • Science: Science (General)
 2 2023
Application of the B-spline Galerkin approach for approximating the time-fractional Burger's equation

 Electronic Research Archive 2023
Novel simulation of the time fractional Burgers–Fisher equations using a non-polynomial spline fractional continuity method

 AIP Advances
  • Science: Physics
  • Technology: Chemical technology
  • Science: Chemistry
  • Science: Physics
  • Technology: Chemical technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
 4 2022
An implicit difference scheme for the fourth-order nonlinear partial integro-differential equations Applicable Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2022
Citations Analysis
Category Category Repetition
Science: Mathematics13
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods7
Technology: Engineering (General). Civil engineering (General)5
Science: Science (General)3
Science: Physics2
Technology: Chemical technology2
Science: Chemistry2
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials2
Technology: Technology (General): Industrial engineering. Management engineering2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software1
Medicine: Medicine (General)1
Science1
Technology: Mechanical engineering and machinery1
The category Science: Mathematics 13 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Efficient numerical schemes for the solution of generalized time fractional Burgers type equations and was published in 2017. The most recent citation comes from a 2023 study titled A hybrid B-spline collocation technique for the Caputo time fractional nonlinear Burgers’ equation. This article reached its peak citation in 2022, with 4 citations. It has been cited in 19 different journals, 52% of which are open access. Among related journals, the Alexandria Engineering Journal cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year