An efficient numerical technique for solving nonlinear singularly perturbed reaction diffusion problem
From MaRDI portal
Publication:2157588
DOI10.1007/s10910-022-01365-4zbMath1502.65226OpenAlexW4281790940MaRDI QIDQ2157588
Publication date: 22 July 2022
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-022-01365-4
collocation methodBernstein polynomialsapproximate solutionsingularly perturbednonlinear reaction diffusion
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items
High‐order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations ⋮ On new approximations of Caputo–Prabhakar fractional derivative and their application to reaction–diffusion problems with variable coefficients ⋮ An effective numerical approach for two parameter time-delayed singularly perturbed problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problems
- Integrals of Bernstein polynomials: an application for the solution of high even-order differential equations
- Maximum norm a posteriori error estimate for a 3D singularly perturbed semilinear reaction-diffusion problem
- A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations
- Bernstein polynomial basis for numerical solution of boundary value problems
- Self-adjoint singularly perturbed second-order two-point boundary value problems: a patching approach
- Bernstein collocation method for solving nonlinear differential equations
- Spline techniques for solving singularly-perturbed nonlinear problems on nonuniform grids
- A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
- Modified asymptotic solutions for second-order nonlinear singularly perturbed boundary value problems
- Fitted mesh method for singularly perturbed parabolic problems with an interior layer
- Nonlinear singular perturbation phenomena: theory and applications
- Operation matrix method based on Bernstein polynomials for the Riccati differential equation and Volterra population model
- B-spline collocation method for nonlinear singularly-perturbed two-point boundary-value problems
- A modified graded mesh and higher order finite element method for singularly perturbed reaction-diffusion problems
- A boundary shape function iterative method for solving nonlinear singular boundary value problems
- Collocation method using artificial viscosity for time dependent singularly perturbed differential-difference equations
- A robust grid equidistribution method for a one-dimensional singularly perturbed semilinear reaction-diffusion problem
- An Almost Sixth-Order Finite-Difference Method for Semilinear Singular Perturbation Problems
- Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes
- Operational matrices of Bernstein polynomials and their applications
- Maximum norm a posteriori error estimates for a 1D singularly perturbed semilinear reaction-diffusion problem