%0 Journal Article %T Asymptotic distributions of Neumann problem for Sturm-Liouville equation %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Marasi, Hamidreza %A Khezri, Esmail %D 2014 %\ 07/01/2014 %V 2 %N 1 %P 19-25 %! Asymptotic distributions of Neumann problem for Sturm-Liouville equation %K Sturm-Liouville %K Nondefinite problem %K Homotopy perturbation method %K Asymptotic distribution %R %X In this paper we apply the Homotopy perturbation method to derive the higher-order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of Sturm-liouville type on $[0,pi]$ with Neumann conditions $(y'(0)=y'(pi)=0)$ where $q$ is a real-valued Sign-indefinite number of $C^{1}[0,pi]$ and $lambda$ is a real parameter. %U https://cmde.tabrizu.ac.ir/article_1322_90f31a367ef89be733f0c5ba5934a118.pdf