HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID
From MaRDI portal
Publication:2971774
DOI10.1142/S0219876212500521zbMath1359.65123MaRDI QIDQ2971774
Pratibhamoy Das, Srinivasan Natesan
Publication date: 7 April 2017
Published in: International Journal of Computational Methods (Search for Journal in Brave)
Numerical solution of boundary value problems involving ordinary differential equations (65L10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items (28)
A new finite volume scheme with gradient transfer method for solving diffusion problems on the distorted hexahedral meshes ⋮ Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems ⋮ A higher-order hybrid finite difference method based on grid equidistribution for fourth-order singularly perturbed differential equations ⋮ Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters ⋮ A robust spline difference method for Robin-type reaction-diffusion problem using grid equidistribution ⋮ An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems ⋮ Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions ⋮ A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms ⋮ Spline-based parameter-uniform scheme for fourth-order singularly perturbed differential equations ⋮ A numerical solution for a quasi solution of the time-fractional stochastic backward parabolic equation ⋮ Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method ⋮ Analysis of a finite difference method based on L1 discretization for solving multi‐term fractional differential equation involving weak singularity ⋮ Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time ⋮ Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh ⋮ Numerical modelling of a nonplanar strike slip fault and associated stress distribution in lithosphere asthenosphere system ⋮ WEB-spline finite elements for the approximation of Navier-Lamé system with \(C_{A, B}\) boundary condition ⋮ Comparative work for the source identification in parabolic inverse problem based on Taylor and Chebyshev wavelet methods ⋮ Numerical treatment for a coupled system of singularly perturbed reaction-diffusion equations with Robin boundary conditions and having boundary and interior layers ⋮ Unnamed Item ⋮ A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems ⋮ A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces ⋮ Linear Fredholm integro-differential-difference equations and their effective computation ⋮ Multiple soliton solutions for nonlinear differential equations with a new version of extended F-expansion method ⋮ A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms ⋮ A Mesh Refinement Algorithm for Singularly Perturbed Boundary and Interior Layer Problems ⋮ A high accurate and convergent numerical framework for solving high-order nonlinear Volterra integro-differential equations ⋮ Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations ⋮ ROBUST NUMERICAL METHOD FOR SINGULARLY PERTURBED TURNING POINT PROBLEMS WITH ROBIN TYPE BOUNDARY CONDITIONS
Cites Work
This page was built for publication: HIGHER-ORDER PARAMETER UNIFORM CONVERGENT SCHEMES FOR ROBIN TYPE REACTION-DIFFUSION PROBLEMS USING ADAPTIVELY GENERATED GRID