In this paper, the Adomian decomposition method is applied to solve the nonlinear partial differential equation using Maple18 software. Results were obtained by tables and drawing with figures.

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...

Finally, generalizations to systems of first order nonlinear differential equations, nonlinear integral equations and variational problems are considered, and the role of the Min-Max operation in ...

In recent years, differential transform method has been used to solve this type of equation [1-11]. The differential transform method is a numerical method based on Taylor expansion.

This study has two main objectives. First, the main objective of this investigation is to solve the fractional-order nonlinear Gardner and Cahn–Hilliard equations by using the modified auxiliary ...

Thanks to these abilities, they can already topple complex linear differential equations exponentially faster than classical machines. Researchers have long hoped they could similarly tame nonlinear ...

This paper studies a fifth order nonlinear partial differential equation that describes nonlinear waves in fluids and oceans. Exact solutions are obtained for this equation using the travelling wave ...

A direct power series substitution technique is proposed to solve second order nonlinear differential equations. The errors in truncated power series are estimated to determine the significance of the ...