Results 41 to 50 of about 281,967 (214)
Exact Finite-Difference Calculus: Beyond Set of Entire Functions
MathematicsIn this paper, a short review of the calculus of exact finite-differences of integer order is proposed. The finite-difference operators are called the exact finite-differences of integer orders, if these operators satisfy the same characteristic ...
Vasily E. Tarasov
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Energies, 2022 Thermal response time is an important parameter for the control of fast reactors. Modern thermal hydraulic codes allow for the modeling of transient responses and can also be used to understand the dominant factors that affect them.
Sydney A. Holdampf +2 more
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Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE +3 more
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Chaotic finite difference operators
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation ...
Marina Murillo-Arcila +2 more
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Finite differences in finite characteristic
Journal of Algebra, 2006 For a Dedekind domain \(D\) with quotient field \(K\) let \(\text{Int}^{[k]}(D)\) be the ring of all \(K\)-polynomials \(f\) having the property that \(f\) as well as all polynomials \(\Delta_{h_k}(\Delta_{h_{k-1}}(\dots (\Delta_{h_1}(f)))\dots)\), (where \(\Delta_hf(X)=(f(X+h)-f(X))/h\)) map \(D\) into \(D\) for every choice of \(h_1,\dots,h_k\).
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Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system
Nonlinear Analysis, 2020 In this paper, we study the existence and uniqueness of weak solution for the system of finite difference schemes for coupled sine-Gordon equations. A novel first order of accuracy unconditionally stable difference scheme is considered.
Ozgur Yildirim, Meltem Uzun
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Elastic Reverse-Time Migration with Complex Topography
Energies, 2021 Migration is an important step in seismic data processing for oil and gas exploration. The accuracy of migration directly affects the accuracy of subsequent oil and gas reservoir characterization.
Yu Zhong +3 more
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Modelling metallic discontinuities with the non-orthogonal finite difference time domain method
, 2004 Numerical electromagnetic models, such as the finite difference time domain (FDTD) method, have many applications. The authors focus on the non-orthogonal FDTD method, which offers an improved geometric flexibility compared to other standard techniques ...
Nilavalan, R, Railton, CJ, Craddock, IJ
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Deviation of the Error Estimation for Second Order Fredholm-Volterra Integro Differential Equations
Mathematical Modelling and Analysis, 2016 In this paper we study the deviation of the error estimation for the second order Fredholm-Volterra integro-differential equations. We prove that for m degree piecewise polynomial collocation method, our method provides O(hm+1) as the order of the ...
Reza Parvaz +2 more
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A Robust Bubble Growth Solution Scheme for Implementation in CFD Analysis of Multiphase Flows
Computation, 2023 Although the full form of the Rayleigh–Plesset (RP) equation more accurately depicts the bubble behavior in a cavitating flow than its reduced form, it finds much less application than the latter in the computational fluid dynamic (CFD) simulation due to
Hao Pang, Gracious Ngaile
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