Results 21 to 30 of about 600,122 (312)
A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations
Journal of Inequalities and Applications, 2016 In this paper, we provide a new type of study approach for the two-dimensional (2D) Sobolev equations. We first establish a semi-discrete Crank-Nicolson (CN) formulation with second-order accuracy about time for the 2D Sobolev equations. Then we directly
Zhendong Luo
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Mathematics, 2022 The inverse and ill-posed problem of determining a solute concentration for the two-dimensional nonhomogeneous fractional diffusion equation is investigated. This model is much worse than its homogeneous counterpart as the source term appears. We propose
Yonggang Chen, Yu Qiao, Xiangtuan Xiong
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Generalized Beta Prime Distribution Applied to Finite Element Error Approximation
Axioms, 2022 In this paper, we propose a new family of probability laws based on the Generalized Beta Prime distribution to evaluate the relative accuracy between two Lagrange finite elements Pk1 and Pk2 ...
Joël Chaskalovic, Franck Assous
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On improved P1-interpolation error estimates in W1,p(0, 1): application to the finite element method
Mathematical Modelling and AnalysisBased on a new Taylor-like formula, we derived an improved interpolation error estimate in W1,p. We compare it with the classical error estimates based on the standard Taylor formula, and also with the corresponding interpolation error estimate, derived
Joel Chaskalovic, Franck Assous
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Quantum Calculus-Based Error Estimations in Hermite-Hadamard Type Inequalities [PDF]
Sahand Communications in Mathematical AnalysisThe main aim of this article is to present error approximations for Hermite-Hadamard inequalities, which are connected with $_{\omega_{1}}\mathfrak{q}$-fractional calculus operators and are based on $\mathrm{(\rho, m)}$-convex functions.
Muhammad Samraiz +3 more
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Linearization errors in discrete goal-oriented error estimation
Computer Methods in Applied Mechanics and Engineering, 2023 This paper is concerned with goal-oriented a posteriori error estimation for nonlinear functionals in the context of nonlinear variational problems solved with continuous Galerkin finite element discretizations. A two-level, or discrete, adjoint-based approach for error estimation is considered.
Brian N. Granzow +2 more
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Perona‐Malik equation ‐ error estimates for explicit finite volume scheme
Mathematical Modelling and Analysis, 2005 Error estimates in the L2 norm for the explicit fully discrete numerical finite volume scheme are derived and proved for Perona‐Malik equation. Numerical example is also presented.
A. Handlovičová, Z. Krivá
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Numerical validation of probabilistic laws to evaluate finite element error estimates
Mathematical Modelling and Analysis, 2021 We propose a numerical validation of a probabilistic approach applied to estimate the relative accuracy between two Lagrange finite elements Pk and Pm,(k < m).
Jöel Chaskalovic, Franck Assous
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Metabolic syndrome (MetS) is a common complication in survivors of childhood acute lymphoblastic and myeloid leukemia (AL), and a major risk factor for premature cardiovascular disease, type‐2‐diabetes, and metabolic dysfunction‐associated steatotic liver disease (MASLD).
Visentin Sandrine +10 more
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Quantum solutions of a nonlinear Schrödinger equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn the present paper, we precisely conduct a quantum calculus method for the numerical solutions of PDEs. A nonlinear Schrödinger equation is considered. Instead of the known classical discretization methods based on the finite difference scheme, Adomian
S. Arfaoui, Ben Mabrouk
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