The dual reciprocity boundary element method for one-dimensional nonlinear parabolic partial differential equations
From MaRDI portal
Publication:6125754
DOI10.1007/s10958-023-06642-4arXiv2305.12210OpenAlexW4388538465MaRDI QIDQ6125754
Publication date: 11 April 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.12210
collocation methodnonlinear partial differential equationsFisher's equationAllen-Cahn equationFitzhugh-Nagumo equationradial basis functions (RBFs)dual reciprocity boundary element method (DRBEM)generalized Fisher's equationNewell-Whithead equationgeneralized FitzHugh-Nagumo equation
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On soliton solutions for the Fitzhugh-Nagumo equation with time-dependent coefficients
- Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method
- Solution of the second-order one-dimensional hyperbolic telegraph equation by using the dual reciprocity boundary integral equation (DRBIE) method
- A numerical method based on the boundary integral equation and dual reciprocity methods for one-dimensional Cahn-Hilliard equation
- Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation
- A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation
- Haar wavelet method for solving some nonlinear parabolic equations
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method
- New exact solutions to the Fitzhugh-Nagumo equation
- A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
- A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation
- Multidimensional nonlinear diffusion arising in population genetics
- Numerical solution of Fisher's equation using a moving mesh method
- Numerical study of Fisher's equation by Adomian's method
- Radial basis function approximation in the dual reciprocity method
- Numerical solution of the \(1+2\) dimensional Fisher's equation by finite elements and the Galerkin method
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- The modified dual reciprocity boundary elements method and its application for solving stochastic partial differential equations
- Dynamic analysis of nonlinear membranes by the analog equation method: A boundary-only solution
- An analytic study of Fisher's equation by using Adomian decomposition method
- IG-DRBEM of three-dimensional transient heat conduction problems
- Isogeometric dual reciprocity boundary element method for solving transient heat conduction problems with heat sources
- Three-dimensional transient heat conduction problems in FGMs via IG-DRBEM
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- A pseudospectral method of solution of Fisher's equation
- A local integral equation formulation to solve coupled nonlinear reaction-diffusion equations by using moving least square approximation
- A meshless method based on the dual reciprocity method for one-dimensional stochastic partial differential equations
- Pseudospectral methods for Nagumo equation
- Approximate conditional symmetries and approximate solutions of the perturbed Fitzhugh–Nagumo equation
- Numerical investigation of the solution of Fisher's equation via the B-spline Galerkin method
- Efficient numerical solution of Fisher's equation by using B-spline method
- Numerical study of Fisher's equation by a Petrov-Galerkin finite element method
- Numerical study of Fisher's equation by wavelet Galerkin method
- The boundary integral equation approach for numerical solution of the one-dimensional Sine-Gordon equation
- A best finite‐difference scheme for the fisher equation
- A numerical solution for advection‐diffusion equation using dual reciprocity method
- Numerical study of Fisher's reaction-diffusion equation by the Sinc collocation method
