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  1. 1

    Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations by Lei Zhang, Lisha Wang, Xiaohua Ding

    Published 2014-01-01
    “…We present finite difference schemes for Burgers equation and Burgers-Fisher equation. …”
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    Article
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    Comparison Study on the Performances of Finite Volume Method and Finite Difference Method by Renwei Liu, Dongjie Wang, Xinyu Zhang, Wang Li, Bo Yu

    Published 2013-01-01
    “…Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper. …”
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    Article
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    Finite Difference Method for the Reverse Parabolic Problem by Charyyar Ashyralyyev, Ayfer Dural, Yasar Sozen

    Published 2012-01-01
    “…A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. …”
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    Article
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    Continuous dependence and differentiation of solutions of finite difference equations by Johnny Henderson, Linda Lee

    Published 1991-01-01
    “…Conditions are given for the continuity and differentiability of solutions of initial value problems and boundary value problems for the nth order finite difference equation, u(m+n)=f(m,u(m),u(m+1),…,u(m+n−1)),m∈ℤ.…”
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    Article
  6. 6

    Finite-difference method for parameterized singularly perturbed problem by G. M. Amiraliyev, Mustafa Kudu, Hakki Duru

    Published 2004-01-01
    “…We study uniform finite-difference method for solving first-order singularly perturbed boundary value problem (BVP) depending on a parameter. …”
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    Article
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    Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations by I. Amirali, G. M. Amiraliyev, M. Cakir, E. Cimen

    Published 2014-01-01
    “…Finite difference technique is applied to numerical solution of the initial-boundary value problem for the semilinear delay Sobolev or pseudoparabolic equation. …”
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    Article
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    The Compact Finite Difference Method of Two-Dimensional Cattaneo Model by Yating Huang, Zhe Yin

    Published 2020-01-01
    “…In this paper, we propose and analyze the compact finite difference scheme of the two-dimensional Cattaneo model. …”
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    Article
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    A Comparison of Finite Difference and Finite Volume Methods with Numerical Simulations: Burgers Equation Model by Ali Hasan Ali, Ahmed Shawki Jaber, Mustafa T. Yaseen, Mohammed Rasheed, Omer Bazighifan, Taher A. Nofal

    Published 2022-01-01
    “…In this paper, we present an intensive investigation of the finite volume method (FVM) compared to the finite difference methods (FDMs). …”
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    Article
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    A New Finite-Difference Method for Nonlinear Absolute Value Equations by Peng Wang, Yujing Zhang, Detong Zhu

    Published 2025-03-01
    “…In this paper, we propose a new finite-difference method for nonconvex absolute value equations. …”
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    Article
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    Application of the Finite Difference Parabolic Equation Model in Forestry Remote Telemetry by Qi Guo, Yubin Lan, Xiaoling Deng, Yinliang Diao

    Published 2023-01-01
    “…In this article, the finite difference parabolic equation (FDPE) method is presented to calculate the propagation loss (PL) for electromagnetic waves (EWs) in the forest environment. …”
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    Article
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