He’s variational iteration method for treating nonlinear singular boundary value problems

An efficient wavelet based spectral method to singular boundary value problems

“…The numerical study of singular boundary value problems arising in various physical models has been done by many authors [1][2][3][4][5][6][7][8][9][10][11] and a variety of methods have been introduced to solve such singular boundary B G. Hariharan hariharang2011@gmail.com 1 Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur, Tamilnadu 613 401, India value problems [2,3,5,[8][9][10]. Although, these numerical methods have many advantages, but a huge amount of computational work is needed.…”

Numerical method for fractional dispersive partial differential equations

“…Odibat et.al [39] and Molliq et al [40] applied VIM to solve fractional Zakharov-Kuznetsov equations. J. Lu [41] and Sakar et al [42][43] applied VIM and AVIM to Fornberg-Whitham equation and by others for different models [44][45][46][47]. The proposed FVIM do not need perturbation, discretization or linearization unlike the technique argued in the literature.…”

Variational Iteration Method for Nonlinear Singular Two-Point Boundary Value Problems Arising in Human Physiology

“…e proof that the sequences { ( ) are convergent has been well established in the literature (see, e.g., [11,21]). …”

“…e VIM has been used by Wazwaz [10] to solve the nonlinear singular Emden-Fowler boundary value problem, which is a special case of (1)- (2), where ( ) = . Also, Ravi Kanth and Aruna [11] used the variational iteration method to solve (1)- (2) and (1)- (3), but that was also done under the assumption that ℎ( . e objective of this paper is to apply the VIM to obtain an approximate solution for the proposed nonlinear singular boundary value problems with more relaxed ( .…”