ASYMPTOTIC SOLUTION OF FOKKER-PLANCK EQUATION BASED ON DARCY-BUCKINGHAM APPROACH IN UNSATURATED SOIL

被引：0

作者：

Makwana, Pragneshkumar R. ^{[1
]}

Parikh, Amit K. ^{[2
]}

机构：

[1] Charotar Univ Sci & Technol, PD Patel Inst Appl Sci, Dept Math Sci, Changa, India

[2] Ganpat Univ, Mehsana Urban Inst Sci, Dept Math, Kherva, India

来源：

JOURNAL OF THE SERBIAN SOCIETY FOR COMPUTATIONAL MECHANICS | 2023年 / 17卷 / 01期

关键词：

Fokker-Planck equation; asymptotic solution; groundwater; infiltration; double power series method;

D O I：

10.24874/jsscm.2023.17.01.06

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The present study discusses one dimensional groundwater infiltration phenomenon in unsaturated soil. The mathematical formulation is developed using Dracy's law, equation of continuity, and standard relations between diffusivity coefficient and hydraulic conductivity. We solved the obtained system using double power series method in the form of asymptotic expansion which represents moisture content in soil.

引用

页码：88 / 96

页数：9

共 50 条

[1] A unified approach for the solution of the Fokker-Planck equation
Wei, GW
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (27): : 4935 - 4953
[2] A PHYSICALLY-BASED APPROACH TO THE SOLUTION OF THE FOKKER-PLANCK EQUATION
ONYEJEKWE, OO
[J]. WATER SA, 1994, 20 (01) : 1 - 8
[3] A SOLUTION OF A FOKKER-PLANCK EQUATION
ENGLEFIELD, MJ
[J]. PHYSICA A, 1990, 167 (03): : 877 - 886
[4] ASYMPTOTIC SOLUTION OF FOKKER-PLANCK EQUATION AT LOW COLLISION FREQUENCY
BHADRA, DK
[J]. PLASMA PHYSICS, 1969, 11 (04): : 247 - &
[5] Asymptotic solution of Fokker-Planck equation for plasma in Paul traps
Shah, Kushal
[J]. PHYSICS OF PLASMAS, 2010, 17 (05)
[6] FORMAL SOLUTION OF FOKKER-PLANCK EQUATION IN OPERATOR APPROACH
GOTO, T
[J]. PROGRESS OF THEORETICAL PHYSICS, 1978, 60 (05): : 1298 - 1303
[7] A TRANSIENT SOLUTION OF THE FOKKER-PLANCK EQUATION
EATON, CF
[J]. AIAA JOURNAL, 1964, 2 (11) : 2033 - 2034
[8] NUMERICAL SOLUTION OF FOKKER-PLANCK EQUATION
KULSRUD, RM
SUN, YC
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1973, 18 (10): : 1262 - 1262
[9] SEQUENCE SOLUTION TO FOKKER-PLANCK EQUATION
MAYFIELD, WW
[J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1973, 19 (02) : 165 - 176
[10] Approximate solution for Fokker-Planck equation
Araujo, M. T.
Drigo Filho, E.
[J]. CONDENSED MATTER PHYSICS, 2015, 18 (04)

← 1 2 3 4 5 →