2017
DOI: 10.1051/itmconf/20171301001
|View full text |Cite
|
Sign up to set email alerts
|

A Practical Method for Analytical Evaluation of Approximate Solutions of Fisher's Equations

Abstract: Abstract. In this article, a framework is developed to get more approximate solutions to nonlinear partial differential equations by applying perturbation iteration technique. This technique is modified and improved to solve nonlinear diffusion equations of the Fisher type. Some problems are investigated to illustrate the efficiency of the method. Comparisons between the new results and the solutions obtained by other techniques prove that this technique is highly effective and accurate in solving nonlinear pr… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
12
0

Year Published

2018
2018
2021
2021

Publication Types

Select...
10

Relationship

6
4

Authors

Journals

citations
Cited by 14 publications
(12 citation statements)
references
References 31 publications
0
12
0
Order By: Relevance
“…As it is well known, partial di¤erential equations are encountered frequently in many …elds of applied physics [16][17][18][19][20][21][22][23]. One of them is Klein -Gordon equation which models many problems in quantum mechanics, condensed matter physics, etc.…”
Section: S • Inan Den • Izmentioning
confidence: 99%
“…As it is well known, partial di¤erential equations are encountered frequently in many …elds of applied physics [16][17][18][19][20][21][22][23]. One of them is Klein -Gordon equation which models many problems in quantum mechanics, condensed matter physics, etc.…”
Section: S • Inan Den • Izmentioning
confidence: 99%
“…The approximate solution of order m can be obtained after putting 01 ,, PP into the last one of the equations (12). For more detailed information about OPIM, please see [13][14][15][16][17][18][19].…”
Section: Opim For the Korteweg-de Vries Equationmentioning
confidence: 99%
“…During the last decade, some of the most remarkable methods developed to obtain the analytical, semi-analytical, and numerical solutions of partial differential equations are the optimal homotopy asymptotic method [1][2][3], homotopy analysis method [4], modified simple equation method [5], homotopy perturbation method [6,7], and optimal perturbation iteration method [8][9][10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%