Goddard, JeromeMorris, QuinnShivaji, RatnasinghamSon, Byungjae2022-01-032022-01-032018-01-18Goddard, J., Morris, Q., Shivaji, R., & Son, B. (2018). Bifurcation curves for singular and nonsingular problems with nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2018</i>(26), pp. 1-12.1072-6691https://hdl.handle.net/10877/15082We discuss a quadrature method for generating bifurcation curves of positive solutions to some autonomous boundary value problems with nonlinear boundary conditions. We consider various nonlinearities, including positone and semipositone problems in both singular and nonsingular cases. After analyzing the method in these cases, we provide an algorithm for the numerical generation of bifurcation curves and show its application to selected problems.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalQuadrature methodBifurcation curveExistenceSingular problemsNonlinear boundary conditionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.