Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method

Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method

In this article, Optimal Homotopy Asymptotic Method (OHAM) is used to approximate results of time-fractional order Fokker-Planck equations. In this work, 3rd order results obtained through OHAM are compared with the exact solutions. It was observed that results from OHAM have better convergence rate...

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Main Authors: H. M. Younas, Muhammad Mustahsan, Tareq Manzoor, Nadeem Salamat, S. Iqbal
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Mathematics
Subjects:
fractional calculus
time-fractional order Fokker-Planck equations
approximate solutions
Optimal Homotopy Asymptotic Method
Online Access:http://www.mdpi.com/2227-7390/7/3/264
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spelling doaj-e2c8d50586ec4511ada7bc68ebf5cbb12020-11-24T21:36:40ZengMDPI AGMathematics2227-73902019-03-017326410.3390/math7030264math7030264Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic MethodH. M. Younas0Muhammad Mustahsan1Tareq Manzoor2Nadeem Salamat3S. Iqbal4Department of Mathematics, Islamia University of Bahawalpur, Bahawalpur 63100, PaakistanDepartment of Mathematics, Islamia University of Bahawalpur, Bahawalpur 63100, PaakistanEnergy Research Center, COMSATS University, Lahore 54000, PakistanDepartment of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan 64200, PakistanDepartment of Informatics and Systems, School of Systems and Technology, University of Management and Technology, Lahore 54000, PakistanIn this article, Optimal Homotopy Asymptotic Method (OHAM) is used to approximate results of time-fractional order Fokker-Planck equations. In this work, 3rd order results obtained through OHAM are compared with the exact solutions. It was observed that results from OHAM have better convergence rate for time-fractional order Fokker-Planck equations. The solutions are plotted and the relative errors are tabulated.http://www.mdpi.com/2227-7390/7/3/264fractional calculustime-fractional order Fokker-Planck equationsapproximate solutionsOptimal Homotopy Asymptotic Method
collection DOAJ
language English
format Article
sources DOAJ
author H. M. Younas
Muhammad Mustahsan
Tareq Manzoor
Nadeem Salamat
S. Iqbal
spellingShingle H. M. Younas
Muhammad Mustahsan
Tareq Manzoor
Nadeem Salamat
S. Iqbal
Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method
Mathematics
fractional calculus
time-fractional order Fokker-Planck equations
approximate solutions
Optimal Homotopy Asymptotic Method
author_facet H. M. Younas
Muhammad Mustahsan
Tareq Manzoor
Nadeem Salamat
S. Iqbal
author_sort H. M. Younas
title Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method
title_short Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method
title_full Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method
title_fullStr Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method
title_full_unstemmed Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method
title_sort dynamical study of fokker-planck equations by using optimal homotopy asymptotic method
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-03-01
description In this article, Optimal Homotopy Asymptotic Method (OHAM) is used to approximate results of time-fractional order Fokker-Planck equations. In this work, 3rd order results obtained through OHAM are compared with the exact solutions. It was observed that results from OHAM have better convergence rate for time-fractional order Fokker-Planck equations. The solutions are plotted and the relative errors are tabulated.
topic fractional calculus
time-fractional order Fokker-Planck equations
approximate solutions
Optimal Homotopy Asymptotic Method
url http://www.mdpi.com/2227-7390/7/3/264
work_keys_str_mv AT hmyounas dynamicalstudyoffokkerplanckequationsbyusingoptimalhomotopyasymptoticmethod
AT muhammadmustahsan dynamicalstudyoffokkerplanckequationsbyusingoptimalhomotopyasymptoticmethod
AT tareqmanzoor dynamicalstudyoffokkerplanckequationsbyusingoptimalhomotopyasymptoticmethod
AT nadeemsalamat dynamicalstudyoffokkerplanckequationsbyusingoptimalhomotopyasymptoticmethod
AT siqbal dynamicalstudyoffokkerplanckequationsbyusingoptimalhomotopyasymptoticmethod
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