An Approximate Analytical Solution of the Fractional Diffusion Equation with Absorbent Term and External Force by Homotopy Perturbation Method

A hybrid of Fourier transform and Adomian decomposition method (FTADM) is developed for solving the nonlinear non-homogeneous partial differential equations of the Cauchy problem

In this article, the homotopy perturbation method is used to solve the time-fractional gas dynamics equa- tion with coupling of Laplace transform and He’s poly- nomials.. Using

Key words: Homotopy Analysis Method; Nonlinear Reaction-Diffusion Equation; Partial Differential Equation; External Force; Reaction Term.. Mathematics Subject Classification

Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method.. Mehmet Ali Balcı and

The homotopyperturbation method is used to find an approximate analytic solution of the problem involving a space-time fractional diffusion equation with a moving boundary.

In addition, in recent years, scientists have presented some new methods for solving nonlinear partial dif- ferential equations; for instance, the B¨acklund trans- formation method

In this article, two powerful analytical methods called the variational iteration method (VIM) and the variational homotopy perturbation method (VHPM) are introduced to obtain the

In this paper, the approximate analytical solutions of a general diffusion equation with fractional time derivative in the presence of a linear external force are obtained with the