Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces
From MaRDI portal
Publication:2085868
DOI10.1016/j.enganabound.2022.05.026OpenAlexW4282831859WikidataQ113875207 ScholiaQ113875207MaRDI QIDQ2085868
Zakieh Avazzadeh, Mohammad Navaz Rasoulizadeh, Omid Nikan
Publication date: 19 October 2022
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.05.026
RBFoptimal shape parametersoliton wave solutionsLRBF-PUnonlinear extended Fisher-Kolmogorov modelnonlinear regularized long-wave model
Nonlinear parabolic equations (35K55) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Related Items
Linear barycentric rational collocation method for solving non-linear partial differential equations, Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation, Iterative compact finite difference method for the numerical study of fully wet porous fins with different profile shapes, An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows, Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations, A localized meshless technique for solving 2D nonlinear integro-differential equation with multi-term kernels, Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media
Uses Software
Cites Work
- Recent advances on radial basis function collocation methods
- A local radial basis function method for advection-diffusion-reaction equations on complexly shaped domains
- A radial basis function partition of unity collocation method for convection-diffusion equations arising in financial applications
- A second-order accurate difference scheme for an extended Fisher-Kolmogorov equation
- Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
- On Cauchy problems for the RLW equation in two space dimensions
- Galerkin method for the numerical solution of the RLW equation using quintic B-splines
- On the convergence of difference schemes for the Benjamin-Bona-Mahony (BBM) equation
- Interactions of two-dimensionally localized pulses of the regularized- long-wave equation
- Multidimensional nonlinear diffusion arising in population genetics
- Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria
- The partition of unity finite element method: basic theory and applications
- Numerical methods for the generalized Zakharov system.
- Soliton solution of some nonlinear partial differential equations and its applications in fluid mechanics
- Fourier pseudo-spectral method for the extended Fisher-Kolmogorov equation in two dimensions
- Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation
- \(q\)-nonlinear Schrödinger and \(q\)-nonlinear Klein-Gordon equations in the frame work of GUP
- Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains
- Two conservative difference schemes for a model of nonlinear dispersive equations
- A new error analysis of nonconforming Bergan's energy-orthogonal element for the extended Fisher-Kolmogorov equation
- Orthogonal cubic spline collocation method for the extended Fisher--Kolmogorov equation
- Fisher-Kolmogorov equation
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Chaotic spatial patterns described by the extended Fisher-Kolmogorov 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
- A RBF partition of unity collocation method based on finite difference for initial-boundary value problems
- Efficient computation of partition of unity interpolants through a block-based searching technique
- On the \(L^\infty\)-norm convergence of a three-level linearly implicit finite difference method for the extended Fisher-Kolmogorov equation in both 1D and 2D
- 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
- The impact of LRBF-FD on the solutions of the nonlinear regularized long wave equation
- SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: a meshless algorithm for the fractional diffusion equation
- A Strang splitting approach combined with Chebyshev wavelets to solve the regularized long-wave equation numerically
- Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization
- A two-grid block-centered finite difference method for the nonlinear regularized long wave equation
- 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
- Highly accurate numerical scheme based on polynomial scaling functions for equal width equation
- High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations
- The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
- Partition of unity interpolation using stable kernel-based techniques
- Finite difference discretization of the extended Fisher-Kolmogorov equation in two dimensions
- A radial basis function finite difference (RBF-FD) method for numerical simulation of interaction of high and low frequency waves: Zakharov-Rubenchik equations
- A meshless method using the radial basis functions for numerical solution of the regularized long wave equation
- Euler Equations, Navier-Stokes Equations and Turbulence
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
- A computational method based on Hermite wavelets for two‐dimensional Sobolev and regularized long wave equations in fluids
- Gegenbauer wavelet collocation method for the extended Fisher‐Kolmogorov equation in two dimensions
- MESHFREE METHODS AND THEIR COMPARISONS
- Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
- Long waves on a beach
- The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs
- Scattered Data Approximation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
