Exponential B-spline collocation solutions to the Gardner equation
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Publication:5030527
DOI10.1080/00207160.2019.1594791zbMath1495.41002arXiv1702.06172OpenAlexW2590748776WikidataQ115552408 ScholiaQ115552408MaRDI QIDQ5030527
Alper Korkmaz, Ozlem Ersoy Hepson, Idris Daǧ
Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.06172
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spline approximation (41A15) Solitary waves in solid mechanics (74J35)
Related Items (7)
BÄCKLUND TRANSFORMATION AND DIVERSE EXACT EXPLICIT SOLUTIONS OF THE FRACTAL COMBINED KdV–mKdV EQUATION ⋮ A quartic trigonometric tension B‐spline finite element method for solving Gardner equation ⋮ Existence of single-peak solitary waves and double-peaks solitary wave of Gardner equation with Kuramoto-Sivashinsky perturbation ⋮ Study of the Gardner equation with homogeneous boundary conditions via fourth order modified cubic B-Spline collocation method ⋮ An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation ⋮ Unnamed Item ⋮ Traveling nonsmooth solution and conserved quantities of long nonlinear internal waves
Cites Work
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- Conservative difference schemes for the numerical solution of the Gardner equation
- A numerical computation of a system of linear and nonlinear time dependent partial differential equations using reduced differential transform method
- Exponential B-splines for numerical solutions to some Boussinesq systems for water waves
- A study of shallow water waves with Gardner's equation
- On traveling wave solutions to combined KdV-mKdV equation and modified Burgers-KdV equation
- Theory of exponential splines
- Analytical and numerical studies of the variable-coefficient Gardner equation
- New kinds of solutions to Gardner equation
- The two-variable \((G'/G, 1/G)\)-expansion method for solving the nonlinear KdV-mKdV equation
- A generalized (\(G{^{\prime}}/G\))-expansion method and its applications to nonlinear evolution equations
- Exponential twice continuously differentiable B-spline algorithm for Burgers' equation
- Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients
- New solitons and kink solutions for the Gardner equation
- Transcritical flow of a stratified fluid over topography: analysis of the forced Gardner equation
- Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension
- Multisymplectic box schemes for the complex modified Korteweg–de Vries equation
- Numerical Approximations of the Dynamical System Generated by Burgers’ Equation with Neumann–Dirichlet Boundary Conditions
- Galerkin methods for a Schrödinger-type equation with a dynamical boundary condition in two dimensions
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