[HTML][HTML] A conservative numerical method for the Cahn–Hilliard equation with Dirichlet boundary conditions in complex domains
In this paper we present a conservative numerical method for the Cahn–Hilliard equation
with Dirichlet boundary conditions in complex domains. The method uses an unconditionally …
with Dirichlet boundary conditions in complex domains. The method uses an unconditionally …
[HTML][HTML] The space-splitting idea combined with local radial basis function meshless approach to simulate conservation laws equations
One acceptable technique in meshfree methods is collocation procedure based on the
radial basis functions. But the mentioned technique is poor for solving problems that have …
radial basis functions. But the mentioned technique is poor for solving problems that have …
A high-order weighted essentially non-oscillatory (WENO) finite difference scheme for nonlinear degenerate parabolic equations
In this paper, we propose a new WENO finite difference procedure for nonlinear degenerate
parabolic equations which may contain discontinuous solutions. Our scheme is based on …
parabolic equations which may contain discontinuous solutions. Our scheme is based on …
New kink solutions for the van der Waals p‐system
EA Az‐Zo'bi - Mathematical Methods in the Applied Sciences, 2019 - Wiley Online Library
The simple equation method and modified simple equation method are employed to seek
exact traveling wave solutions to the (1+ 1)‐dimensional van der Waals gas system in the …
exact traveling wave solutions to the (1+ 1)‐dimensional van der Waals gas system in the …
A new high‐order weighted essentially non‐oscillatory scheme for non‐linear degenerate parabolic equations
R Abedian - Numerical Methods for Partial Differential …, 2021 - Wiley Online Library
In this research, a new high‐order WENO method for solving 1D, 2D and 3D non‐linear
degenerate parabolic equations which may contain discontinuous solutions has been …
degenerate parabolic equations which may contain discontinuous solutions has been …
The solution of nonlinear Green–Naghdi equation arising in water sciences via a meshless method which combines moving kriging interpolation shape functions with …
In this investigation a new meshless numerical technique is proposed for solving Green–
Naghdi equation by combining the moving Kriging interpolation shape functions with the …
Naghdi equation by combining the moving Kriging interpolation shape functions with the …
A finite difference Hermite RBF‐WENO scheme for hyperbolic conservation laws
R Abedian - International Journal for Numerical Methods in …, 2022 - Wiley Online Library
One of the best ideas for controlling the Gibbs oscillations in hyperbolic conservation laws is
to apply weighted essentially non‐oscillatory (WENO) schemes. The traditional WENO and …
to apply weighted essentially non‐oscillatory (WENO) schemes. The traditional WENO and …
A high-order symmetrical weighted hybrid ENO-flux limiter scheme for hyperbolic conservation laws
In this paper, we propose a new weighted essentially non-oscillatory (WENO) procedure for
solving hyperbolic conservation laws, on uniform meshes. The new scheme combines …
solving hyperbolic conservation laws, on uniform meshes. The new scheme combines …
An improved flux limiter using fuzzy modifiers for Hyperbolic Conservation Laws
The objective of the work in this paper is to computationally tackle a range of problems in
hyperbolic conservation laws, which is an interesting branch of computational fluid …
hyperbolic conservation laws, which is an interesting branch of computational fluid …
Symmetrical weighted essentially non‐oscillatory‐flux limiter schemes for Hamilton–Jacobi equations
In this paper, we propose a new scheme that combines weighted essentially non‐oscillatory
(WENO) procedures together with monotone upwind schemes to approximate the viscosity …
(WENO) procedures together with monotone upwind schemes to approximate the viscosity …