Results 1 to 10 of about 717,459 (165)
Solvability of nonlinear fractional integro-differential equation with nonlocal condition [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – This study describes the applicability of the a priori estimate method on a nonlocal nonlinear fractional differential equation for which the weak solution's existence and uniqueness are proved.
Sakhri Aicha, Ahcene Merad
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Bulletin of Mathematical Sciences, 2023 A no-flux initial-boundary value problem for the cross-diffusion system ut = Δ(uϕ(v)),vt = Δv − uv is considered in smoothly bounded domains [Formula: see text] with [Formula: see text].
Michael Winkler
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Axioms, 2022 The paper considers a class of nonlinear differential equations which are not solvable in quadratures in general case. The author’s technology for solving such equations contains six problems.
Victor Orlov, Magomedyusuf Gasanov
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On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions
Moroccan Journal of Pure and Applied Analysis, 2021 The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution ...
Aggoun Karim, Merad Ahcene
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Application of a Priori and a Posteriori Estimate on Risk Assessment
Communications, 2018 The problem of setting the values and interconnections between elements of the models in the safety, protection and security field, appears as the biggest obstacle in taking crisis management decisions.
Lenka Sivakova +2 more
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A priori estimates for fluid interface problems [PDF]
Communications on Pure and Applied Mathematics, 2008 AbstractWe consider the regularity of an interface between two incompressible and inviscid fluid flows in the presence of surface tension. We obtain local‐in‐time estimates on the interface in H(3/2)k + 1 and the velocity fields in H(3/2)k. These estimates are obtained using geometric considerations which show that the Kelvin‐Helmholtz instabilities ...
Shatah, Jalal, Zeng, Chongchun
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The Inaccuracy of Sample-Based Confidence Intervals to Estimate A Priori Ones
Methodology, 2020 Confidence intervals (CIs) constitute the most popular alternative to widely criticized null hypothesis significance tests. CIs provide more information than significance tests and lend themselves well to visual displays.
David Trafimow, Joshua Uhalt
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A priori error analysis of virtual element method for contact problem
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech.
Fei Wang, B. Daya Reddy
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Numerical resolution of the wave equation using the spectral method
Boundary Value Problems, 2022 We present a new procedure for the numerical study of the wave equation. We use the spectral discretization method associated with the Euler scheme for spatial and temporal discretization. A detailed numerical analysis leads to an a priori error estimate.
Mohamed Abdelwahed, Nejmeddine Chorfi
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Moving Singular Points and the Van der Pol Equation, as Well as the Uniqueness of Its Solution
Mathematics, 2023 The article considers the Van der Pol equation nonlinearity aspect related to a moving singular point. The fact of the existence of moving singular points and the uniqueness of their solution for complex domains have been proved.
Victor Orlov
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