Gegenbauer wavelet collocation method for the extended Fisher‐Kolmogorov equation in two dimensions
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6300
Abstract: Gegenbauer wavelets operational matrices play an important role in the numeric solution of differential equations. In this study, operational matrices of rth integration of Gegenbauer wavelets are derived and used to obtain an approximate solution… read more here.
Keywords: extended fisher; method; fisher kolmogorov; equation ... See more keywords
Exact analytical solutions of the Schrödinger equation for a two dimensional purely sextic double-well potential
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DOI: 10.1063/1.4997532
Abstract: Exact analytical solutions of the Schrodinger equation for a two-dimensional purely sextic double-well potential are proved to exist for a denumerably infinite set of the geometry parameter of the well. First, the geometry values which… read more here.
Keywords: dimensional purely; exact analytical; analytical solutions; two dimensional ... See more keywords
The existence of positive solution for singular Kirchhoff equation with two parameters
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1154-8
Abstract: AbstractIn this paper, we consider the singular Kirchhoff equation with two parameters {−a(∫Ω|∇u(x)|2dx)△u(x)+K(x)g(u)=λf(x,u)+μh(x)in Ω,u>0in Ω,u=0on ∂Ω.$$\textstyle\begin{cases} -a ( \int_{\varOmega}|\nabla u(x)|^{2}\,dx )\triangle u(x)+K(x)g(u)=\lambda f(x,u)+\mu h(x) \quad \mbox{in } \varOmega, \\ u>0 \quad \mbox{in } \varOmega, \\ u=0 \quad \mbox{on… read more here.
Keywords: two parameters; kirchhoff equation; singular kirchhoff; equation two ... See more keywords