A review on a class of second order nonlinear singular BVPs

AK Verma, B Pandit, L Verma, RP Agarwal - Mathematics, 2020 - mdpi.com
Several real-life problems are modeled by nonlinear singular differential equations. In this
article, we study a class of nonlinear singular differential equations, explore its various …

An efficient pseudospectral method for numerical solution of nonlinear singular initial and boundary value problems arising in astrophysics

MA Mehrpouya - Mathematical Methods in the Applied …, 2016 - Wiley Online Library
In the manuscript, a pseudospectral method is developed for approximate and efficient
solution of nonlinear singular Lane–Emden–Fowler initial and boundary value problems …

Series solution and Chebyshev collocation method for the initial value problem of Emden-Fowler equation

Y Wang, T Wang, G Gao - International Journal of Computer …, 2023 - Taylor & Francis
ABSTRACT The Emden-Fowler equation has important applications in some mathematical
and physical problems. In this paper, a smoothing transformation is given for the initial value …

[PDF][PDF] Nonexistence of solutions for second-order initial value problems

DC Biles - Differential Equations&Applications, 2017 - files.ele-math.com
We consider nonexistence of solutions for second-order initial value problems. Two results
are given: one in which the problems are singular in the time variable, and one in which the …