An initial-value technique to solve third-order reaction–diffusion singularly perturbed boundary-value problems

DOI10.1080/00207160.2012.706280zbMath1255.65200OpenAlexW2118211966MaRDI QIDQ4902849

Manoj Kumar, Surabhi Tiwari

Publication date: 18 January 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.706280

zbMATH Keywords

singular perturbationordinary differential equationsboundary-value problems

Mathematics Subject Classification ID

Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (6)

Chebyshev differential quadrature for numerical solutions of third- and fourth-order singular perturbation problems ⋮ Piecewise approximate analytical solutions of high-order singular perturbation problems with a discontinuous source term ⋮ Local discontinuous Galerkin method on graded meshes for a third‐order singularly perturbed problem ⋮ Numerical solution of a fourth‐order singularly perturbed boundary value problem with discontinuities via Haar wavelets ⋮ Local discontinuous Galerkin method for a third‐order singularly perturbed problem of reaction–diffusion type ⋮ An initial value method for solving singularly perturbed boundary value problems using adaptive grids

Cites Work

• Unnamed Item
• Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients
• Initial value technique for singularly perturbed two point boundary value problems using an exponentially fitted finite difference scheme
• He's variational iteration method for solving linear and non-linear systems of ordinary differential equations
• Initial-value technique for a class of nonlinear singular perturbation problems
• Initial-value technique for singularly perturbed boundary-value problems for second-order ordinary differential equations arising in chemical reactor theory
• Initial-value technique for singularly-perturbed turning-point problems exhibiting twin boundary layers
• Asymptotic initial-value method for singularly-perturbed boundary-value problems for second-order ordinary differential equations
• An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations.
• On the convergence behaviour of variable stepsize multistep methods for singularly perturbed problems
• A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems
• A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations
• ``Shooting method for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer.
• Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer
• The nonlinear singularly perturbed initial boundary value problems of nonlocal reaction diffusion systems
• A computational method for solving third-order singularly perturbed boundary-value problems
• An efficient numerical method for singular perturbation problems
• Laminar condensation on a moving drop. Part 1. Singular perturbation technique
• An Efficient Computational Technique for a System of Singularly Perturbed Initial Value Problems
• An Initial-Value Technique for Singularly Perturbed Boundary Value Problems via Cubic Spline

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