The delay logistic equations have been extensively used as models in biology and other
sciences, with particular emphasis on population dynamics. In this work, the variational …

I am pleased to submit my comprehensive worldwide bibliography on the Adomian
decomposition method:“A bibliography of the theory and applications of the Adomian …

Two numerical techniques are presented for solving the solution of Riccati differential
equation. These methods use the cubic B-spline scaling functions and Chebyshev cardinal …

In this paper, a collocation method using a new weighted orthogonal system on the half-line,
namely the rational Gegenbauer functions, is introduced to solve numerically the third-order …

In this study, a collocation method based on the Bessel functions of first kind is given for the
approximate solutions of the Riccati differential–difference equations under the mixed …

In this paper, we construct the Lane–Emden–Fowler type equations of higher orders. We
study the linear and the nonlinear Lane–Emden–Fowler type equations of the third and …

In viscoelastic anisotropic media, the elastic moduli, slowness vector, phase, and ray
velocity are all complex-valued quantities in the frequency domain. Solving the complex …

The dynamic behavior of particulate processes under the influence of the nonlinear
aggregation term, nucleation, growth and breakup is studied. Analytic solutions are obtained …

In this paper, a collocation method based on Bessel functions of the first kind is presented to
compute the approximate solutions of a class of high-order nonlinear differential equations …

In this paper, approximate solutions of time fractional partial differential equations are
obtained by using He's variational iteration method (VIM). The VIM is compatible and …