Concepedia

Nonlinear Initial Value Problems

Nonlinear Initial Value Problems is an initial value problem in which the governing differential equation exhibits nonlinearity in the unknown function or its derivatives, thereby distinguishing it from linear initial value problems through the absence of superposition principles and proportional response to inputs.

1.7K

Publications

98.5K

Citations

2.5K

Authors

1.2K

Institutions

Publications per year

2017–2026

239

Parents

Publications

1.7K

Method for Solving the Korteweg-deVries Equation

Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations

, , +17

SUNDIALS

A.C. Hindmarsh, Peter N. Brown, Keith Eric Grant et al. · ACM Transactions on Mathematical Software · 2005 · 2.6K citations · Full text

, , +17

Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

Kenichi Sakamoto, Masahiro Yamamoto · Journal of Mathematical Analysis and Applications · 2011 · 1.2K citations

, , +16

On the fuzzy initial value problem

Seppo Seikkala · Fuzzy Sets and Systems · 1987 · 883 citations

, , +9

A MATLAB differentiation matrix suite

J. A. C. Weideman, S C Reddy · ACM Transactions on Mathematical Software · 2000 · 877 citations · Full text

, , +17

1–5 of 1.7K

Authors

2.5K

  1. TE
    T. E. Simos

    University of Peloponnese, Greece

    16 publications · 1K citations

    14

    h-index

  2. AS
    A. S. Fokas

    University of Cambridge, United Kingdom

    12 publications · 669 citations

    11

    h-index

  3. MB
    Mouffak Benchohra

    Université Djilali de Sidi Bel Abbès, Algeria

    12 publications · 470 citations

    11

    h-index

  4. DO
    Donal O’Regan

    Ollscoil na Gaillimhe – University of Galway, Ireland

    14 publications · 683 citations

    11

    h-index

  5. DB
    Dumitru Bǎleanu

    Çankaya University, Türkiye

    11 publications · 598 citations

    11

    h-index

1–5 of 2.5K

Institutions

1.2K

  1. King Abdulaziz University

    Jeddah, Saudi Arabia

    15 h-index

    28 publications

    1.1K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    20 publications

    1.9K citations

  3. Universidade de Santiago de Compostela

    Santiago de Compostela, Spain

    14 h-index

    23 publications

    1.1K citations

  4. King Saud University

    Riyadh, Saudi Arabia

    13 h-index

    15 publications

    863 citations

  5. University of Toronto

    Toronto, Canada

    13 h-index

    18 publications

    1.7K citations

  6. Çankaya University

    Ankara, Türkiye

    13 h-index

    15 publications

    874 citations

  7. China University of Mining and Technology

    Xuzhou, China

    12 h-index

    17 publications

    1.5K citations

  8. Ollscoil na Gaillimhe – University of Galway

    Galway, Ireland

    11 h-index

    15 publications

    713 citations

1–8 of 1.2K

Venues

  1. Nonlinear Analysis

    97 publications · 5.5K citations

    36

    h-index

  2. Journal of Mathematical Analysis and Applications

    81 publications · 5.1K citations

    28

    h-index

  3. Journal of Differential Equations

    59 publications · 3.3K citations

    28

    h-index

  4. Applied Mathematics and Computation

    53 publications · 2.9K citations

    26

    h-index

  5. Computers & Mathematics with Applications

    52 publications · 2K citations

    24

    h-index

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