Some New Results on Subquadratic Lane–Emden Elliptic Systems
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-016-0818-1
Abstract: We deal with a nonlinear elliptic weighted system of Lane–Emden type in $$\mathbb R^N$$RN, $$N \ge 3$$N≥3, by exploiting its equivalence with a fourth-order quasilinear elliptic equation involving a suitable “sublinear” term. By overcoming the… read more here.
Keywords: emden elliptic; subquadratic lane; new results; lane emden ... See more keywords
Global Behavior of Positive Solutions of a Generalized Lane–Emden System of Nonlinear Differential Equations
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0889-7
Abstract: In this paper we discuss the existence and the global behavior of positive solutions of the following generalized Lane–Emden system of differential equations: $$\begin{aligned} -u''= & {} a(x)u^{\alpha }\,v^{r}\quad \text{ in } (0,1), \\ -v''=… read more here.
Keywords: behavior positive; emden system; positive solutions; generalized lane ... See more keywords
An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics
Sign Up to like & getrecommendations! Published in 2018 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-018-3286-1
Abstract: The key purpose of this article is to introduce an efficient computational method for the approximate solution of the homogeneous as well as non-homogeneous nonlinear Lane-Emden type equations. Using proposed computational method given nonlinear equation… read more here.
Keywords: computational method; astrophysics; solution; emden type ... See more keywords
A high-order numerical method for solving nonlinear Lane-Emden type equations arising in astrophysics
Sign Up to like & getrecommendations! Published in 2018 at "Astrophysics and Space Science"
DOI: 10.1007/s10509-018-3483-y
Abstract: In this paper, some nonlinear Lane-Emden type equations arising in astrophysics are solved by Chebyshev Finite Difference Method. Convergence and error analysis of the method are examined. To show the applicability and efficiency, some astrophysics… read more here.
Keywords: method; astrophysics; nonlinear lane; emden type ... See more keywords
Design of Backpropagated Intelligent Networks for Nonlinear Second-Order Lane–Emden Pantograph Delay Differential Systems
Sign Up to like & getrecommendations! Published in 2021 at "Arabian Journal for Science and Engineering"
DOI: 10.1007/s13369-021-05814-1
Abstract: In physical science, nonlinear singular Lane–Emden and pantograph delay differential equations (LE–PDDEs) have abundant applications and thus are of great interest for the researchers. The presented investigation is related to the development of a new… read more here.
Keywords: second order; pantograph; lane emden; delay differential ... See more keywords
Lagrange Operational Matrix Methods to Lane–Emden, Riccati’s and Bessel’s Equations
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-019-0655-6
Abstract: The current study is presented to develop two approaches and methodologies to find the numerical solution of linear and non-linear initial value problems such as Lane–Emden type equation, Riccati’s equation and Bessel’s equation of order… read more here.
Keywords: linear non; non linear; linear initial; lane emden ... See more keywords
Non-existence of positive solutions to nonlocal Lane-Emden equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124067
Abstract: Abstract This paper is concerned with non-existence of positive solutions to nonlocal Lane-Emden equations. Firstly, we establish the “Fujita index” for nonlocal reaction-diffusion equations, which is new in the blowup theory. Then the non-existence of… read more here.
Keywords: nonlocal lane; solutions nonlocal; positive solutions; existence positive ... See more keywords
A novel conformable Laplace transform for conformable fractional Lane–Emden type equations
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2022.2037575
Abstract: In the current work, we introduce a relatively new integral operator, a modification of conformable Laplace transform that can handle some conformable fractional differential equations with singularities of a given kind. Some essential properties and… read more here.
Keywords: conformable laplace; transform; fractional lane; laplace transform ... See more keywords
Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents
Sign Up to like & getrecommendations! Published in 2022 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2022.2029485
Abstract: The purpose of this paper is to obtain rigorous numerical enclosures for solutions of Lane– Emden’s equation −∆u = |u|p−1u with homogeneous Dirichlet boundary conditions. We prove the existence of a nondegenerate solution u nearby… read more here.
Keywords: numerical enclosures; lane emden; emden equation; rigorous numerical ... See more keywords
Spatial eigenvalue problems for stars in hydrostatic equilibrium: Generalised Lane-Emden equations as boundary value problems
Sign Up to like & getrecommendations! Published in 2023 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stad1506
Abstract: We derive a generic spatial eigenvalue problem governing stars in hydrostatic equilibrium. Our approach generalizes the various Lane-Emden equations finding use over the past century, allowing for more general equations of state (EoS) while ensuring a stellar… read more here.
Keywords: stellar structure; structure; stars hydrostatic; hydrostatic equilibrium ... See more keywords
Numerical solution of Lane-Emden type equations using Adomian decomposition method with unequal step-size partitions
Sign Up to like & getrecommendations! Published in 2020 at "Engineering Computations"
DOI: 10.1108/ec-02-2020-0073
Abstract: Purpose The purpose of this paper is to obtain the highly accurate numerical solution of Lane–Emden-type equations using modified Adomian decomposition method (MADM) for unequal step-size partitions. Design/methodology/approach First, the authors describe the standard Adomian… read more here.
Keywords: numerical solution; method; solution; emden type ... See more keywords