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   Articles with "equations non" as a keyword



A Bivariate Spline Method for Second Order Elliptic Equations in Non-divergence Form

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recommendations! Published in 2018 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-017-0562-0

Abstract: A bivariate spline method is developed to numerically solve second order elliptic partial differential equations in non-divergence form. The existence, uniqueness, stability as well as approximation properties of the discretized solution will be established by… read more here.

Keywords: bivariate spline; spline method; second order; order elliptic ... See more keywords
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Directional homogenization of elliptic equations in non-divergence form

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recommendations! Published in 2020 at "Journal of Differential Equations"

DOI: 10.1016/j.jde.2019.11.041

Abstract: Abstract The paper concerns regularities of solutions of elliptic equations in non-divergence form with directional homogenization. The main interest is to investigate the differences of regularities of datums that are needed and of solutions that… read more here.

Keywords: divergence form; elliptic equations; equations non; homogenization ... See more keywords

Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities

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recommendations! Published in 2019 at "IMA Journal of Numerical Analysis"

DOI: 10.1093/imanum/drz009

Abstract: In this article we propose a new, explicit and easily implementable numerical method for approximating a class of semilinear stochastic evolution equations with non-globally Lipschitz continuous nonlinearities. We establish strong convergence rates for this approximation… read more here.

Keywords: evolution equations; equations non; stochastic evolution; strong convergence ... See more keywords
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Approximation on the reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields

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recommendations! Published in 2017 at "Advances in Difference Equations"

DOI: 10.1186/s13662-017-1128-z

Abstract: The aim of this paper is to study the generalized Hyers-Ulam stability of a form of reciprocal-cubic and reciprocal-quartic functional equations in non-Archimedean fields. Some related examples for the singular cases of these new functional… read more here.

Keywords: reciprocal cubic; reciprocal quartic; functional equations; equations non ... See more keywords

Caputo fractional differential equations with non-instantaneous impulses and strict stability by Lyapunov functions

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recommendations! Published in 2017 at "Filomat"

DOI: 10.2298/fil1716217a

Abstract: In this paper the statement of initial value problems for fractional differential equations with noninstantaneous impulses is given. These equations are adequate models for phenomena that are characterized by impulsive actions starting at arbitrary fixed… read more here.

Keywords: strict stability; equations non; instantaneous impulses; fractional differential ... See more keywords