Solving 2D Poisson-type equations using meshless SPH method
Sign Up to like & getrecommendations! Published in 2019 at "Results in Physics"
DOI: 10.1016/j.rinp.2019.102260
Abstract: Abstract In the present study, 2D Poisson-type equation is solved by a meshless Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The influence of the kernel function, smoothing length and particle discretizations of problem domain on the… read more here.
Keywords: using meshless; type equations; poisson type; solving poisson ... See more keywords
Poisson-type inequalities for growth properties of positive superharmonic functions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-016-1278-7
Abstract: In this paper, we present new Poisson-type inequalities for Poisson integrals with continuous data on the boundary. The obtained inequalities are used to obtain growth properties at infinity of positive superharmonic functions in a smooth… read more here.
Keywords: superharmonic functions; positive superharmonic; growth properties; poisson type ... See more keywords
Poisson type inequalities with respect to a cone and their applications
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1387-y
Abstract: In this paper, we establish new Poisson type inequalities with respect to a cone. As applications, the integral representations of harmonic functions are also obtained. read more here.
Keywords: cone applications; respect cone; inequalities respect; poisson type ... See more keywords
Block-pulse functions method for solving three-dimensional fractional Poisson type equations with Neumann boundary conditions
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DOI: 10.1186/s13661-018-0945-7
Abstract: In this paper, a numerical scheme based on the three-dimensional block-pulse functions is proposed to solve the three-dimensional fractional Poisson type equations with Neumann boundary conditions. The differential operational matrices of fractional order of the… read more here.
Keywords: three dimensional; pulse functions; block pulse; poisson type ... See more keywords