• Corpus ID: 56144204

MULTIGRID METHOD FOR SOLVING THE GENERALIZED EQUAL WIDTH WAVE EQUATION

@article{Essa2017MULTIGRIDMF,
  title={MULTIGRID METHOD FOR SOLVING THE GENERALIZED EQUAL WIDTH WAVE EQUATION},
  author={Yasser Mohamed Abo Essa},
  journal={International Journal of Mathematical Archive},
  year={2017},
  volume={8}
}
  • Y. Essa
  • Published 15 February 2017
  • Physics
  • International Journal of Mathematical Archive
N umerical solution of the generalized equal width (GEW) equation is obtained by using the multigrid method based on finite difference method. The motion of a single solitary wave, interaction of two solitary waves and the Maxwellian initial condition pulse are studied using the proposed method. The numerical solutions are compared with the known analytical solutions. Using  error norms and conservative properties of mass, momentum and energy, accuracy and efficiency of the mentioned method… 
2 Citations
A Fully Implicit Finite Difference Approach for Numerical Solution of the Generalized Equal Width (GEW) Equation
  • B. Inan, A. Bahadir
  • Mathematics
    Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
  • 2019
In this paper, a fully implicit finite difference method is presented to solve the generalized equal width equation. This implicit method allows to handle any values of p . Since the equation is
Lie symmetries of Generalized Equal Width wave equations
Lie symmetry analysis of differential equations proves to be a powerful tool to solve or atleast to reduce the order and non-linearity of the equation. The present article focuses on the solution of

References

SHOWING 1-10 OF 15 REFERENCES
Multigrid Method for the Numerical Solution of the Modified Equal Width Wave Equation
Numerical solutions of the modified equal width wave equation are obtained by using the multigrid method and finite difference method. The motion of a single solitary wave, interaction of two
The Numerical Solution of the MRLW Equation Using the Multigrid Method
In this paper, we obtained the numerical solutions of the modified regularized long-wave (MRLW) equation, by using the multigrid method and finite difference method. The solitary wave motion,
Numerical simulation of GEW equation using RBF collocation method
The generalized equal width (GEW) equation is solved numerically by a meshless method based on a global collocation with standard types of radial basis functions (RBFs). Test problems including
Solitary waves for the generalized equal width (GEW) equation
TLDR
A collocation method for the GEW equation, which is classified as a nonlinear PDE using quadratic B-splines at midpoints as element shape functions using a Maxwellian initial condition pulse is presented.
APPLICATION OF THE MULTIGRID TECHNIQUE FOR THE NUMERICAL SOLUTION OF THE NON-LINEAR DISPERSIVE WAVES EQUATIONS
T he scope of this paper is to obtain the numerical solutions of the Korteweg-de Vries (KdV) equation and the related partial differential equations (namely: the modified Korteweg-de Vries equation
Exact Solutions of the Generalized Equal Width Wave Equation
TLDR
This work derives exact solitary wave solutions for the general form of the EW equation and the generalized EW-Burgers equation with nonlinear terms of any order.
A cubic B-spline Galerkin approach for the numerical simulation of the GEW equation
The generalized equal width (GEW) wave equation is solved numerically by using lumped Galerkin approach with cubic B-spline functions. The proposed numerical scheme is tested by applying two test
A Petrov-Galerkin method for solving the generalized equal width (GEW) equation
Collocation method using cubic B-spline for the generalised equal width equation
  • K. Raslan
  • Mathematics
    Int. J. Simul. Process. Model.
  • 2006
TLDR
The generalised equal width wave (GEW) equation ut + eupux - δuxxt = 0 is solved numerically by a B-spline finite element method which is found to be accurate and efficient.
Exact solutions for generalized equal width equation, Math
  • 2013
...
1
2
...