Approximate analytical solutions for Kolmogorov’s equations

Analytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations

In this work, we conduct a comparative study among the combine Laplace transform and modied Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro-differential equations of the second kind. The nonlinear part of integro-differential is approximated by Adomian polynomials, and the equation is reduce...

Approximate Analytical Solutions of Fuzzy Linear Fredholm Integral Equations by HAM

analytical-approximate solution for nonlinear volterra integro-dierential equations

in this work, we conduct a comparative study among the combine laplace transform and modied adomian decomposition method (lmadm) and two traditional methods for an analytic and approximate treatment of special type of nonlinear volterra integro-differential equations of the second kind. the nonlinear part of integro-differential is approximated by adomian polynomials, and the equation is red...

A Review of Some Recent Results for the Approximate Analytical Solutions of Nonlinear Differential Equations

This paper features a survey of some recent developments in techniques for obtaining approximate analytical solutions of some nonlinear differential equations arising in various fields of science and engineering. Adomian’s decomposition method is applied to some nonlinear problems, and some mathematical tools such as He’s homotopy perturbation method and variational iteration method are introdu...

Analytical Approximate Solutions for the Nonlinear Fractional Differential-Difference Equations Arising in Nanotechnology

The aim of this article is by using the fractional complex transform FCT and the optimal homotopy analysis transform method OHATM to find the analytical approximate solutions for nonlinear fractional differential-difference equations FNDDEs arising in physical phenomena such as wave phenomena in fluids, coupled nonlinear optical waveguides and nanotechnology fields. Fractional complex transform...