An approach to time fractional gas dynamics equation: Quadratic B-spline Galerkin method

2015 ◽  
Vol 261 ◽  
pp. 330-336 ◽  
Author(s):  
A. Esen ◽  
O. Tasbozan
Keyword(s):  
Galerkin Method ◽  
Gas Dynamics ◽  
B Spline ◽  
Gas Dynamics Equation

Modified iteration method for solving fractional gas dynamics equation

2016 ◽  
Vol 40 (4) ◽  
pp. 939-946 ◽  
Author(s):  
Ramin Najafi ◽  
Gökçe Dilek Küçük ◽  
Ercan Çeli̇k
Keyword(s):  
Iteration Method ◽  
Gas Dynamics ◽  
Modified Iteration Method ◽  
Gas Dynamics Equation

The Variational IterationMethod for Finding Exact Solution of Nonlinear Gas Dynamics Equations

2011 ◽  
Vol 66 (3-4) ◽  
pp. 161-164 ◽  
Author(s):  
Hossein Jafari ◽  
Ch. Chun ◽  
C.M. Khalique
Keyword(s):  
Exact Solution ◽  
Nonlinear Equations ◽  
Analytical Solutions ◽  
Analytical Method ◽  
Iteration Method ◽  
Gas Dynamics ◽  
Variational Iteration Method ◽  
Gas Dynamics Equations ◽  
Exact Analytical Solutions ◽  
Gas Dynamics Equation

The variational iteration method (VIM) proposed by Ji-Huan He is a new analytical method to solve nonlinear equations. In this paper, a modified VIM is introduced to accelerate the convergence of VIM and it is applied for finding exact analytical solutions of nonlinear gas dynamics equation.

scholarly journals Convergence of approximate solution of mixed Hammerstein type integral equations

2018 ◽  
Vol 38 (2) ◽  
pp. 61-74
Author(s):  
Monireh Nosrati Sahlan
Keyword(s):  
Galerkin Method ◽  
Integral Equations ◽  
Basis Functions ◽  
Computational Method ◽  
Operational Matrices ◽  
B Spline ◽  
Spline Wavelets ◽  
Type Integral ◽  
The Galerkin Method ◽  
Dual Functions

In the present paper, a computational method for solving nonlinear Volterra-Fredholm Hammerestein integral equations is proposed by using compactly supported semiorthogonal cubic B-spline wavelets as basis functions. Dual functions and Operational matrices of B-spline wavelets via Galerkin method are utilized to reduce the computation of integral equations to some algebraic system, where in the Galerkin method dual of B-spline wavelets are applied as weighting functions. The method is computationally attractive, and applications are demonstrated through illustrative examples.

Analytical Solution for Fractional Gas Dynamics Equation

2018 ◽  
Vol 42 (1) ◽  
pp. 51-57 ◽  
Author(s):  
S. Raja Balachandar ◽  
K. Krishnaveni ◽  
K. Kannan ◽  
S. G. Venkatesh
Keyword(s):  
Analytical Solution ◽  
Gas Dynamics ◽  
Gas Dynamics Equation

scholarly journals Simulations of solitary waves of RLW equation by exponential B-spline Galerkin method

2017 ◽  
Vol 26 (8) ◽  
pp. 080202 ◽  
Author(s):  
Melis Zorsahin Gorgulu ◽  
Idris Dag ◽  
Dursun Irk
Keyword(s):  
Galerkin Method ◽  
Solitary Waves ◽  
B Spline ◽  
Rlw Equation

Quadratic B-Spline Galerkin Method for Numerical Solutions of Fractional Telegraph Equations

2017 ◽  
Vol 18 ◽  
pp. 23-39 ◽  
Author(s):  
Orkun Tasbozan ◽  
Alaattin Esen
Keyword(s):  
Galerkin Method ◽  
Fractional Order ◽  
Numerical Solutions ◽  
Absolute Error ◽  
Numerical Results ◽  
B Spline ◽  
Telegraph Equations

In this study, the authors employed the quadratic B-spline Galerkin method to solve time fractional order telegraph equations. Three model problems are consideredto implement the method. L2, L∞ error norms and numerical results have been presented in tables. Absolute error graphics for all the exact and numerical solutionshave been given

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