Results 21 to 30 of about 830,924 (267)
Open Mathematics, 2023 In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
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Error estimation for n-th order Filon quadrature formula
Lietuvos Matematikos Rinkinys, 2023 In this paper the error estimation for n-th order Filon quadrature formula is discussed.
Kostas Plukas, Danutė Plukienė
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Mathematical Modelling and Analysis, 2021 An efficient Legendre-Galerkin spectral method and its error analysis for a one-dimensional parabolic equation with Dirichlet-type non-local boundary conditions are presented in this paper.
Abdeldjalil Chattouh, Khaled Saoudi
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Mathematics, 2019 In this paper, the ill-posed problem of the two-dimensional modified Helmholtz equation is investigated in a strip domain. For obtaining a stable numerical approximation solution, a mollification regularization method with the de la Vallée Poussin ...
Shangqin He, Xiufang Feng
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Fractional Bernstein Series Solution of Fractional Diffusion Equations with Error Estimate
Axioms, 2021 In the present paper, we introduce the fractional Bernstein series solution (FBSS) to solve the fractional diffusion equation, which is a generalization of the classical diffusion equation.
Mohammed Hamed Alshbool +2 more
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Fractal and Fractional, 2023 In this paper, we are interested in the effective numerical schemes of the time-fractional Black–Scholes equation. We convert the original equation into an equivalent integral-differential equation and then discretize the time-integral term in the ...
Jie Gu, Lijuan Nong, Qian Yi, An Chen
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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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Известия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2017 The article considers a mixed problem with homogeneous boundary conditions for onedimensional homogeneous wave equation. Such a problem can arise, for example, when studying oscillations of current and voltage in the conductor through which electric ...
P. G. Lasy, I. N. Meleshko
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The spectral discretization of the second-order wave equation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this paper we deal with the discretization of the second order wave equation by the implicit Euler scheme for the time and the spectral method for the space. We prove that the time semi discrete and the full discrete problems are well posed.
Abdelwahed Mohamed, Chorfi Nejmeddine
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Fractal and Fractional, 2022 In this paper, efficient methods seeking the numerical solution of a time-fractional fourth-order differential equation with Caputo’s derivative are derived. The solution of such a problem has a weak singularity near the initial time t=0. The Caputo time-
Zhen Wang
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