Concepedia

Higher-order Difference Equations

Higher-Order Difference Equations is a type of difference equation characterized by the involvement of a sequence’s terms at more than one preceding time step, distinguished from first-order difference equations by its dependence on two or more past values to determine the current value.

346

Publications

12.5K

Citations

547

Authors

306

Institutions

Publications per year

2017–2026

60

Parents

Publications

346

On the Use of Higher-Order Finite-Difference Schemes on Curvilinear and Deforming Meshes

Miguel R. Visbal, Datta V. Gaitonde · Journal of Computational Physics · 2002 · 1K citations

, , +13

An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow

Mark Sussman, Emad Fatemi · SIAM Journal on Scientific Computing · 1999 · 651 citations · Full text

, , +17

Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique

Richard S. Hirsh · Journal of Computational Physics · 1975 · 481 citations

, , +16

The discrete and continuous Painlevé VI hierarchy and the Garnier systems

Frank Nijhoff, Alan Walker · Glasgow Mathematical Journal · 2001 · 232 citations · Full text

, , +12

Identifying nonlinear difference equation and functional expansion representations: The fast orthogonal algorithm

Michael J. Korenberg · Annals of Biomedical Engineering · 1988 · 218 citations

, , +11

1–5 of 346

Authors

547

  1. RP
    Ravi P. Agarwal

    Florida Institute of Technology, United States

    18 publications · 395 citations

    13

    h-index

  2. SS
    Stevo Stević

    Serbian Academy of Sciences and Arts, Serbia

    11 publications · 306 citations

    11

    h-index

  3. PJ
    Patricia J. Y. Wong

    Nanyang Technological University, Singapore

    9 publications · 243 citations

    9

    h-index

  4. MS
    Mehmet Sezer

    Muğla University, Türkiye

    8 publications · 232 citations

    8

    h-index

  5. WL
    Wan‐Tong Li

    Lanzhou University, China

    6 publications · 128 citations

    6

    h-index

1–5 of 547

Institutions

306

  1. National University of Singapore

    Singapore, Singapore

    12 h-index

    17 publications

    391 citations

  2. Serbian Academy of Sciences and Arts

    Belgrade, Serbia

    9 h-index

    9 publications

    258 citations

  3. Muğla University

    Muğla, Türkiye

    8 h-index

    18 publications

    478 citations

  4. Nanyang Technological University

    Singapore, Singapore

    7 h-index

    7 publications

    176 citations

  5. Amirkabir University of Technology

    Tehran, Iran

    6 h-index

    12 publications

    265 citations

  6. Mansoura University

    Al Mansurah, Egypt

    6 h-index

    7 publications

    136 citations

  7. University of Rhode Island

    Kingston, United States

    5 h-index

    10 publications

    187 citations

  8. King Abdulaziz University

    Jeddah, Saudi Arabia

    5 h-index

    7 publications

    138 citations

1–8 of 306

Venues

  1. Journal of Computational Physics

    21 publications · 2.6K citations

    19

    h-index

  2. Applied Mathematics and Computation

    24 publications · 615 citations

    15

    h-index

  3. 14

    h-index

  4. Applied Mathematics Letters

    15 publications · 288 citations

    13

    h-index

  5. 12

    h-index

1–5