A high-order finite difference scheme for a singularly perturbed reaction-diffusion problem with an interior layer

Advances in Difference Equations ◽

10.1186/s13662-017-1268-1 ◽

2017 ◽

Vol 2017 (1) ◽

Author(s):

Zhongdi Cen ◽

Anbo Le ◽

Aimin Xu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Interior Layer ◽

High Order Finite Difference

Download Full-text

A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction–diffusion problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.10.072 ◽

2012 ◽

Vol 218 (9) ◽

pp. 5067-5080 ◽

Author(s):

C. Clavero ◽

J.L. Gracia

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Problems

Download Full-text

High-Order Compact Finite-Difference Scheme for Singularly-Perturbed Reaction-Diffusion Problems on a New Mesh of Shishkin Type

Journal of Optimization Theory and Applications ◽

10.1007/s10957-009-9547-y ◽

2009 ◽

Vol 143 (1) ◽

pp. 123-147 ◽

Author(s):

V. Kumar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Diffusion Problems

Download Full-text

A high-order finite difference scheme for a singularly perturbed fourth-order ordinary differential equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1339869 ◽

2017 ◽

Vol 95 (9) ◽

pp. 1806-1819 ◽

Author(s):

Zhongdi Cen ◽

Aimin Xu ◽

Anbo Le

Keyword(s):

Differential Equation ◽

Ordinary Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Singularly Perturbed ◽

Order Ordinary Differential Equation ◽

High Order Finite Difference

Download Full-text

A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with neumann boundary condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21726 ◽

2012 ◽

Vol 29 (3) ◽

pp. 778-798 ◽

Author(s):

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

Download Full-text

Numerical Simulation of Supersonic Twin-Jet Noise with High-Order Finite Difference Scheme

AIAA Journal ◽

10.2514/1.j055751 ◽

2018 ◽

Vol 56 (1) ◽

pp. 290-300 ◽

Author(s):

Junhui Gao ◽

Xin Xu ◽

Xiaodong Li

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Jet Noise ◽

High Order Finite Difference

Download Full-text

A block interface flux reconstruction method for numerical simulation with high order finite difference scheme

Journal of Computational Physics ◽

10.1016/j.jcp.2012.12.037 ◽

2013 ◽

Vol 241 ◽

pp. 1-17 ◽

Author(s):

Junhui Gao

Keyword(s):

Numerical Simulation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Flux Reconstruction ◽

Reconstruction Method ◽

High Order Finite Difference

Download Full-text

A uniformly convergent finite difference scheme for Robin type singularly perturbed parabolic convection diffusion problem

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2020.03.003 ◽

2020 ◽

Vol 174 ◽

pp. 218-232

Author(s):

Nana Adjoah Mbroh ◽

Suares Clovis Oukouomi Noutchie ◽

Rodrigue Yves M’pika Massoukou

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Convection Diffusion ◽

Uniformly Convergent

Download Full-text

A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1733538 ◽

2020 ◽

pp. 1-16

Author(s):

K. Aarthika ◽

V. Shanthi ◽

Higinio Ramos

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Download Full-text

A compact finite difference scheme for 2D reaction–diffusion singularly perturbed problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.04.056 ◽

2006 ◽

Vol 192 (1) ◽

pp. 152-167 ◽

Author(s):

J.L. Gracia ◽

C. Clavero

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

Download Full-text

An almost third order finite difference scheme for singularly perturbed reaction–diffusion systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.03.011 ◽

2010 ◽

Vol 234 (8) ◽

pp. 2501-2515 ◽

Author(s):

C. Clavero ◽

J.L. Gracia ◽

F.J. Lisbona

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Third Order ◽

Reaction Diffusion Systems ◽

Diffusion Systems

Download Full-text