Convergence of variational iteration method for solving singular partial differential equations of fractional order

We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum ab...

Full description

Saved in:

Bibliographic Details
Main Authors:	Asma Ali, Elbeleze,, Bachok M., Taib,, Adel, Kilicman,
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2015
Online Access:	http://ddms.usim.edu.my/handle/123456789/8096 http://www.hindawi.com/journals/aaa/2014/518343/
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

$Convergence of variational iteration method for solving singular partial differential equations of fractional order$

Convergence of variational iteration method for solving singular partial differential equations of fractional order
by: Elbeleze, Asma Ali, et al.
Published: (2014)

$Fractional variational iteration method and its application to fractional partial differential equation$

Fractional variational iteration method and its application to fractional partial differential equation
by: Elbeleze, Asma Ali, et al.
Published: (2013)

Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation
by: Asma Ali, Elbeleze,, et al.
Published: (2015)

$Numerical methods for fractional order singular partial differential equations with variable coefficients$

Numerical methods for fractional order singular partial differential equations with variable coefficients
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Numerical Methods for Fractional Order Singular Partial Differential Equations with Variable Coefficients
by: Asma Ali, Elbeleze,, et al.
Published: (2015)

$Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations$

Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations
by: Asma Ali, Elbeleze,, et al.
Published: (2015)

$Application of homotopy perturbation method for fractional partial differential equations$

Application of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)

$Application of homotopy perturbation and variational iteration methods for fredholm integrodifferential equation of fractional order$

Application of homotopy perturbation and variational iteration methods for fredholm integrodifferential equation of fractional order
by: A.A., Elbeleze,, et al.
Published: (2015)

$Approximate solution of integro-differential equation of fractional (arbitrary) order$

Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)

$On simple iterative fractional order differential equations$

On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

$Application of homotopy perturbation method for fractional partial differential equations$

Application of homotopy perturbation method for fractional partial differential equations
by: A.A., Elbeleze,, et al.
Published: (2015)

Residual Methods For Solving Fractional Differential Equations With Singular Kernels
by: Abuomar, Mohammed M. A.
Published: (2023)

$Solving fractional variable-order differential equations of the non-singular derivative using Jacobi operational matrix$

Solving fractional variable-order differential equations of the non-singular derivative using Jacobi operational matrix
by: Basim, M., et al.
Published: (2023)

$Solving fractional partial differential equations with corrected Fourier series method$

Solving fractional partial differential equations with corrected Fourier series method
by: Zainal, Nor Hafizah, et al.
Published: (2014)

A variational-fixed point iterative technique for the solution of second order differential equations
by: Kilicman, Adem, et al.
Published: (2016)

$Some solution of the fractional iterative integro-differential equations$

Some solution of the fractional iterative integro-differential equations
by: Kilicman, Adem, et al.
Published: (2018)

A multi-point iterative method for solving nonlinear equations with optimal order of convergence
by: Nik Long, Nik Mohd Asri, et al.
Published: (2018)

$Approximate solutions for non-linear iterative fractional differential equations$

Approximate solutions for non-linear iterative fractional differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

$Solving fractional diffusion equation using variational iteration method and adomian decomposition method$

Solving fractional diffusion equation using variational iteration method and adomian decomposition method
by: Dzulkarnain, Norizkiah
Published: (2013)

$Solving fractional diffusion equation using variational iteration method adomian decomposition method$

Solving fractional diffusion equation using variational iteration method adomian decomposition method
by: Norizkiah Dzulkarnian,
Published: (2013)

$Homotopy perturbation method for fractional black-scholes european option pricing equations using Sumudu transform$

Homotopy perturbation method for fractional black-scholes european option pricing equations using Sumudu transform
by: Elbeleze, Asma Ali, et al.
Published: (2013)

Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform
by: Asma Ali, Elbeleze,, et al.
Published: (2015)

$Mixed solutions of monotone iterative technique for hybrid fractional differential equations$

Mixed solutions of monotone iterative technique for hybrid fractional differential equations
by: Damag, Faten H., et al.
Published: (2019)

$The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods$

The approximate solution of fractional Fredholm integrodifferential equations by variational iteration and homotopy perturbation methods
by: Kadem, Abdelouahab, et al.
Published: (2012)

$On the application of multi-dimensional laplace decomposition method for solving singular fractional pseudo-hyperbolic equations$

On the application of multi-dimensional laplace decomposition method for solving singular fractional pseudo-hyperbolic equations
by: Eltayeb, Hassan, et al.
Published: (2022)

Third order convergence iterative method for multiple roots of nonlinear equation
by: Jamaludin, Nur Alif Akid, et al.
Published: (2019)

$Solving fractional differential equations using iterative homotopy analysis method / Lee Meng Oon$

Solving fractional differential equations using iterative homotopy analysis method / Lee Meng Oon
by: Lee , Meng Oon
Published: (2021)

Solving the singularly perturbation problems of delay differential equations numerically
by: Jaaffar, Nur Tasnem, et al.
Published: (2021)

$Solving partial and fraction differential equations using corrected fourier series method$

Solving partial and fraction differential equations using corrected fourier series method
by: Zainal, Nor Hafizah
Published: (2014)

$A note on the lower and upper solutions of hybrid-type iterative fractional differential equations$

A note on the lower and upper solutions of hybrid-type iterative fractional differential equations
by: Damag, Faten H., et al.
Published: (2020)

Heuristic computational design of morlet wavelet neural network for solving the higher order singular nonlinear differential equations
by: Zulqurnain Sabir, et al.
Published: (2021)

$An effective spectral approach to solving fractal differential equations of variable order based on the non-singular kernel derivative$

An effective spectral approach to solving fractal differential equations of variable order based on the non-singular kernel derivative
by: Basim, M., et al.
Published: (2023)

$A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time$

A new fourth-order grouping iterative method for the time fractional sub-diffusion equation having a weak singularity at initial time
by: Khan, Muhammad Asim, et al.
Published: (2023)

Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations
by: Balasim, Alla Tareq
Published: (2017)

New third order convergence iterative method for finding multiple roots of nonlinear equations
by: Jamaludin, Nur Alif Akid, et al.
Published: (2018)

Convergence Proof of Some Generalised Backward Differentiation (GBDF) Methods to Solve the General Second Order Ordinary Differential Equations (ODE).
by: Suleiman, Mohamed
Published: (1984)

Fourth order solutions of singularly perturbed boundary value problems by quarter-sweep iteration
by: Sulaiman, Jumat, et al.
Published: (2012)

Fourth Order Solutions of Singularly Perturbed Boundary Value Problems by Quarter-Sweep Iteration
by: SULAIMAN, JUMAT, et al.
Published: (2012)

Fourth order solutions of singularly perturbed boundary value problems by quarter-sweep iteration
by: Jumat Sulaiman, et al.
Published: (2013)