A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions
DOI10.1007/s00500-021-06056-xzbMath1498.65128OpenAlexW3193488976MaRDI QIDQ2100410
Nikita Setia, Ranjan Kumar Mohanty
Publication date: 22 November 2022
Published in: Soft Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00500-021-06056-x
boundary value problemsRobin boundary conditionsboundary layerfinite difference approximationviscous Burgers' equationsingular problemssingularly perturbed problemsquasi-variable mesh
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
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Cites Work
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- A family of variable mesh methods for the estimates of (d\(u\)/d\(r\)) and solution of non-linear two point boundary value problems with singularity
- A new compact high order off-step discretization for the system of 2D quasi-linear elliptic partial differential equations
- Monotone methods for periodic solutions of second order scalar functional differential equations
- A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\)
- Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems
- A numerical approach to nonlinear two-point boundary value problems for ODEs
- Variable mesh methods for the numerical solution of two-point singular perturbation problems
- Bounds for the solution of a second order differential equation with mixed boundary conditions
- Higher order difference methods for second order two-point boundary-value problems
- The computation of boundary flow with uniform accuracy with respect to a small parameter
- An optimal algorithm for certain boundary value problem
- An improved quasilinearization method for second order nonlinear boundary value problems
- Numerical solution of a convection diffusion problem with Robin boundary conditions
- Chebyshev finite difference approximation for the boundary value problems
- Uniform convergence difference schemes for singularly perturbed mixed boundary problems.
- A nonlinear shooting method for two-point boundary value problems
- Diagonal block method for solving two-point boundary value problems with Robin boundary conditions
- A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions
- A constructive monotone iterative method for second-order BVP in the presence of lower and upper solutions
- Higher-order finite-difference methods for nonlinear second-order two-point boundary-value problems
- Quintic B-spline collocation method for second order mixed boundary value problem
- A third-derivative two-step block Falkner-type method for solving general second-order boundary-value systems
- A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions
- A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations
- Numerical solution of boundary value problems by using an optimized two-step block method
- A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems
- Solving second-order singularly perturbed ODE by the collocation method based on energetic Robin boundary functions.
- The generalized quasilinearization method for second-order three-point boundary value problems
- Sinc collocation method with boundary treatment for two-point boundary value problems
- Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
- Finite Difference Collocation Methods for Nonlinear Two Point Boundary Value Problems
- A Fourth-order Tridiagonal Finite Difference Method for General Non-linear Two-point Boundary Value Problems with Mixed Boundary Conditions
- A monotone method for constructing extremal solutions to second-order periodic boundary value problems
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