Creator:

Paliivets, Maksim ; Bakshtanin, Alexander ; Benin, Dmitriy M. ; Andreev, E. ; Snezhko, V.L.

Contributor:

Jurczak, Paweł - red.

Title:

New iterative method of solving nonlinear equations in fluid mechanics

Group publication title:

IJAME, volume 26 (2021)

Subject and Keywords:

Adomian decomposition method (ADM) ; earthquake ; filtration ; fluid mechanics ; iterative methods ; nonlinear fractional partial differential equations ; porous medium

Abstract:

This paper presents the results of applying a new iterative method to linear and nonlinear fractional partial differential equations in fluid mechanics. A numerical analysis was performed to find an exact solution of the fractional wave equation and fractional Burgers` equation, as well as an approximate solution of fractional KdV equation and fractional Boussinesq equation.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2021

Resource Type:

artykuł

Format:

application/pdf

DOI:

10.2478/ijame-2021-0042

Pages:

163-176

Source:

IJAME, volume 26, number 3 (2021)

Language:

eng

License:

CC 4.0

License CC BY-NC-ND 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego