scholarly journals On the Solution of Generalized Space Time Fractional Telegraph Equation

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Badr S. Alkahtani ◽  
Vartika Gulati ◽  
Pranay Goswami
Keyword(s):  
Lagrange Multiplier ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Telegraph Equation ◽  
Space Time ◽  
New Technique ◽  
Variational Iteration ◽  
Fractional Telegraph Equation ◽  
Sumudu Transform

We present the solution of generalized space time fractional telegraph equation by using Sumudu variational iteration method which is the combination of variational iteration method and Sumudu transform. We tried to overcome the difficulties in finding the value of Lagrange multiplier by this new technique.

scholarly journals On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Pranay Goswami ◽  
Rubayyi T. Alqahtani
Keyword(s):  
Differential Equations ◽  
Laplace Transform ◽  
Fractional Differential Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Telegraph Equation ◽  
Space Time ◽  
Variational Iteration ◽  
Fractional Differential ◽  
Fractional Space

We present iteration formulae of a fractional space-time telegraph equation using the combination of fractional variational iteration method and local fractional Laplace transform.

scholarly journals Comment on “An Approximation to Solution of Space and Time Fractional Telegraph Equations by He's Variational Iteration Method”

2013 ◽  
Vol 2013 ◽  
pp. 1-2
Author(s):  
Yi-Hong Wang ◽  
Lan-Lan Huang
Keyword(s):  
Laplace Transform ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
Telegraph Equation ◽  
Variational Iteration ◽  
Space And Time ◽  
Fractional Telegraph Equation ◽  
Telegraph Equations ◽  
He’S Variational Iteration Method

The variational iteration method was applied to the time fractional telegraph equation and some variational iteration formulae were suggested in (Sevimlican, 2010). Those formulae are improved by Laplace transform from which the approximate solutions of higher accuracies can be obtained.

scholarly journals Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Qian Lijuan ◽  
Tian Lixin ◽  
Ma Kaiping
Keyword(s):  
Approximate Solution ◽  
Exact Solutions ◽  
Lagrange Multiplier ◽  
Iteration Method ◽  
Initial Approximation ◽  
Variational Iteration Method ◽  
Original Equation ◽  
Variational Iteration

We introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is found after making the correction functional. Furthermore, several approximations ofun+1(x,t)which is converged tou(x,t)are obtained, and the exact solutions of Degasperis-Procesi equation will be obtained by using the traditional variational iteration method with a suitable initial approximationu0(x,t). Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.

scholarly journals Variational Iteration Method forq-Difference Equations of Second Order

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
Guo-Cheng Wu
Keyword(s):  
Lagrange Multiplier ◽  
Difference Equations ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Second Order ◽  
Iteration Formula ◽  
Strongly Nonlinear ◽  
Variational Iteration ◽  
He’S Variational Iteration Method ◽  
Oscillation Equation

Recently, Liu extended He's variational iteration method to strongly nonlinearq-difference equations. In this study, the iteration formula and the Lagrange multiplier are given in a more accurate way. Theq-oscillation equation of second order is approximately solved to show the new Lagrange multiplier's validness.

scholarly journals The local fractional variational iteration method a promising technology for fractional calculus

2020 ◽  
Vol 24 (4) ◽  
pp. 2605-2614 ◽  
Author(s):  
Yong-Ju Yang
Keyword(s):  
Fractional Calculus ◽  
Iteration Method ◽  
Variational Iteration Method ◽  
Initial Solution ◽  
Iteration Algorithm ◽  
Promising Technology ◽  
Variational Iteration ◽  
Sumudu Transform

In order to make the local variational iteration algorithm converge faster and more effective, the Sumudu transform is adopted and a proper initial solution is chosen. Some examples are given to show that the presented method is reliable, efficient and easy to implement from a computational viewpoint.

scholarly journals Conformable Sumudu Transform of Space-Time Fractional Telegraph Equation

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Amjad E. Hamza ◽  
Mohamed Z. Mohamed ◽  
Eltaib M. Abd Elmohmoud ◽  
M. Magzoub
Keyword(s):  
Numerical Model ◽  
Numerical Solutions ◽  
Transformation Method ◽  
Telegraph Equation ◽  
Space Time ◽  
Science And Engineering ◽  
Fractional Equations ◽  
Fractional Telegraph Equation ◽  
Presentation Method ◽  
Sumudu Transform

This paper intends to obtain accurate and convergent numerical solutions of linear space-time matching telegraph fractional equations by means of a double Sumudu matching transformation method. Moreover, the numerical model is equipped to explain the work, the accuracy of the work, and sobriety in its presentation method, and as a result, the proposed method shows an effective and convenient way, to employ proven problems in science and engineering.

Sign in / Sign up

Export Citation Format

Share Document