Approximate Solution for advection dispersion equation of time Fractional order by using the Chebyshev wavelets-Galerkin Method

2017 ◽  
Vol 58 (3B) ◽  
Keyword(s):  
Approximate Solution ◽  
Galerkin Method ◽  
Dispersion Equation ◽  
Fractional Order ◽  
Chebyshev Wavelets ◽  
Advection Dispersion ◽  
Equation Of Time

scholarly journals Modified Laguerre wavelet based Galerkin method for fractional and fractional-order delay differential equations

2019 ◽  
Vol 23 (Suppl. 1) ◽  
pp. 13-21 ◽  
Author(s):  
Aydin Secer ◽  
Neslihan Ozdemir
Keyword(s):  
Approximate Solution ◽  
Integral Operator ◽  
Differential Equations ◽  
Galerkin Method ◽  
Fractional Order ◽  
Delay Differential Equations ◽  
Fractional Integral ◽  
Approximate Solutions ◽  
Delay Differential ◽  
The Given

The application of modified Laguerre wavelet with respect to the given conditions by Galerkin method to an approximate solution of fractional and fractional-order delay differential equations is studied in this paper. For the concept of fractional derivative is used Caputo sense by using Riemann-Liouville fractional integral operator. The presented method here is tested on several problems. The approximate solutions obtained by presented method are compared with the exact solutions and is shown to be a very efficient and powerful tool for obtaining approximate solutions of fractional and fractional-order delay differential equations. Some tables and figures are presented to reveal the performance of the presented method.

scholarly journals A fractional numerical study on advection-dispersion equation with fractional order

2021 ◽  
Vol 1734 ◽  
pp. 012004
Author(s):  
SE Fadugba ◽  
HO Edogbanya ◽  
SN Ogunyebi ◽  
BT Babalola ◽  
JT Okunlola
Keyword(s):  
Dispersion Equation ◽  
Fractional Order ◽  
Numerical Study ◽  
Advection Dispersion

scholarly journals Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Birol İbiş ◽  
Mustafa Bayram
Keyword(s):  
Approximate Solution ◽  
Dispersion Equation ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Convergent Series ◽  
High Accuracy ◽  
Analytical Approximate Solution ◽  
Variational Iteration ◽  
Advection Dispersion ◽  
Liouville Derivative

This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie’s modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. Some examples are given and the results indicate that the FVIM is of high accuracy, more efficient, and more convenient for solving time FADEs.

Ulam–Hyers stability and analytical approach for m-dimensional Caputo space-time variable fractional order advection–dispersion equation

2021 ◽  
pp. 2250004
Author(s):  
Pratibha Verma ◽  
Manoj Kumar ◽  
Anand Shukla
Keyword(s):  
Numerical Methods ◽  
Dispersion Equation ◽  
Fractional Order ◽  
Analytical Approach ◽  
Dimensional Space ◽  
Adomian Decomposition Method ◽  
Space Time ◽  
Time Variable ◽  
Advection Dispersion ◽  
Adomian Decomposition

This article introduces the computational analytical approach to solve the m-dimensional space-time variable Caputo fractional order advection–dispersion equation with the Dirichlet boundary using the two-step Adomian decomposition method and obtain the exact solution in just one iteration. Moreover, with the help of fixed point theory, we study the existence and uniqueness conditions for the positive solution and prove some new results. Also, obtain the Ulam–Hyers stabilities for the proposed problem. Two generalized examples are considered to show the method’s applicability and compared with other existing numerical methods. The present method performs exceptionally well in terms of efficiency and simplicity. Further, we solved both examples using the two most well-known numerical methods and compared them with the TSADM solution.

Non-Newtonian oscillatory layer flow, approximate solution

1979 ◽  
Vol 44 (10) ◽  
pp. 2908-2914 ◽  
Author(s):  
Ondřej Wein
Keyword(s):  
Boundary Layer ◽  
Approximate Solution ◽  
Galerkin Method ◽  
Horizontal Plane ◽  
Oscillatory Flow ◽  
Oscillatory Boundary Layer ◽  
Layer Flow ◽  
Pseudoplastic Liquid ◽  
The Galerkin Method

The problem of the oscillatory flow of pseudoplastic liquid in vicinity of the infinitely long horizontal plane is formulated in stresses. For Re i.e. for conditions of oscillatory boundary layer the problem is solved approximately by the Galerkin method.

Sign in / Sign up

Export Citation Format

Share Document