Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media
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Publication:2101318
DOI10.1007/s40819-022-01439-6OpenAlexW4294761839MaRDI QIDQ2101318
Zakieh Avazzadeh, Omid Nikan, Mohammad Navaz Rasoulizadeh
Publication date: 5 December 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-022-01439-6
collocation methodvon Neumann analysissolitary surface wavelocalized meshless methodmultilayered liquid filmradial basis function-finite difference methodsparse differentiation matrix
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Solitary waves for incompressible inviscid fluids (76B25) Basic methods in fluid mechanics (76M99)
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Cites Work
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- Recent advances on radial basis function collocation methods
- Numerical solution of GRLW equation using sinc-collocation method
- Travelling wave solutions of the Kuramoto-Sivashinsky equation
- Quintic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation
- Numerical comparison of least square-based finite-difference (LSFD) and radial basis function-based finite-difference (RBFFD) methods
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- Numerical solutions of the generalized Kuramoto-Sivashinsky equation by Chebyshev spectral collocation methods
- A mesh-free numerical method for solution of the family of Kuramoto-Sivashinsky equations
- Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation
- The non-existence of a certain class of travelling wave solutions of the Kuramoto-Sivashinsky equation
- A quintic B-spline based differential quadrature method for numerical solution of Kuramoto-Sivashinsky equation
- A numerical scheme based on radial basis function finite difference (RBF-FD) technique for solving the high-dimensional nonlinear Schrödinger equations using an explicit time discretization: Runge-Kutta method
- Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation
- The solitary wave solution of the two-dimensional regularized long-wave equation in fluids and plasmas
- An efficient local meshless method for the equal width equation in fluid mechanics
- Error estimate of the MQ-RBF collocation method for fractional differential equations with Caputo-Fabrizio derivative
- A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
- A local radial basis function-finite difference (RBF-FD) method for solving 1D and 2D coupled Schrödinger-Boussinesq (SBq) equations
- An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory
- Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces
- The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation
- Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto-Sivashinsky equation
- Local RBF method for transformed three dimensional sub-diffusion equations
- Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization
- A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics
- A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates
- Two-dimensional simulation of the damped Kuramoto-Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization
- A meshfree method for the numerical solution of the RLW equation
- Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations
- Numerical solutions of the generalized kuramoto-sivashinsky equation using B-spline functions
- An upwind local RBF-DQ method for simulation of inviscid compressible flows
- Scattered node compact finite difference-type formulas generated from radial basis functions
- Extended tanh-function method and its applications to nonlinear equations
- Nonlinear instability at the interface between two viscous fluids
- The Well-Posedness of the Kuramoto–Sivashinsky Equation
- THE PARTITION OF UNITY METHOD
- New various multisoliton kink‐type solutions of the (1 + 1)‐dimensional Mikhailov–Novikov–Wang equation
- A high-order implicit–explicit Runge–Kutta type scheme for the numerical solution of the Kuramoto–Sivashinsky equation
- Numerical investigation of the time-fractional Black-Scholes equation with barrier choice of regulating European option
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