Asymptotic numerical methods for singularly perturbed fourth-order ordinary differential equations of reaction-diffusion type

Computers & Mathematics with Applications ◽

10.1016/s0898-1221(03)90039-3 ◽

2003 ◽

Vol 46 (2-3) ◽

pp. 463-478 ◽

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

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Quintic B-Spline Method for Singularly Perturbed Fourth-Order Ordinary Differential Equations of Reaction–Diffusion Type

National Academy Science Letters ◽

10.1007/s40009-018-0705-3 ◽

2018 ◽

Vol 41 (6) ◽

pp. 385-390 ◽

Author(s):

Ram Kishun Lodhi ◽

Hradyesh Kumar Mishra

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Spline Method ◽

Diffusion Type ◽

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Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection–diffusion type

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00257-0 ◽

2002 ◽

Vol 133 (2-3) ◽

pp. 559-579 ◽

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Singularly Perturbed ◽

Diffusion Type ◽

Convection Diffusion

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An asymptotic numerical fitted mesh method for singularly perturbed third order ordinary differential equations of reaction–diffusion type

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00179-5 ◽

2002 ◽

Vol 132 (1) ◽

pp. 87-104 ◽

Author(s):

S. Valarmathi ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Third Order ◽

Diffusion Type ◽

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NUMERICAL METHOD FOR SINGULARLY PERTURBED THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS OF REACTION-DIFFUSION TYPE

Journal of applied mathematics & informatics ◽

10.14317/jami.2017.277 ◽

2017 ◽

Vol 35 (3_4) ◽

pp. 277-302

Author(s):

J. CHRISTY ROJA ◽

A. TAMILSELVAN

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Third Order ◽

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An asymptotic finite element method for singularly perturbed third and fourth order ordinary differential equations with discontinuous source term

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.02.093 ◽

2007 ◽

Vol 191 (2) ◽

pp. 372-380 ◽

Author(s):

A. Ramesh Babu ◽

N. Ramanujam

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Source Term ◽

Singularly Perturbed ◽

Discontinuous Source Term ◽

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AN INITIAL VALUE METHOD FOR SINGULARLY PERTURBED SYSTEM OF REACTION-DIFFUSION TYPE DELAY DIFFERENTIAL EQUATIONS

Journal of the Korea Society for Industrial and Applied Mathematics ◽

10.12941/jksiam.2013.17.221 ◽

2013 ◽

Vol 17 (4) ◽

pp. 221-237 ◽

Author(s):

V. Subburayan ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed System ◽

Initial Value ◽

Diffusion Type ◽

Perturbed System ◽

Delay Differential

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A class of numerical methods for the solution of fourth-order nonlinear ordinary differential equations on a graded mesh with boundary conditions of first kind

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2019.1600072 ◽

2019 ◽

Vol 20 (5) ◽

pp. 434-450

Author(s):

R. K. Mohanty ◽

Md Hasan Sarwer

Keyword(s):

Numerical Methods ◽

Differential Equations ◽

Boundary Conditions ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Nonlinear Ordinary Differential Equations ◽

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Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer

Applied Mathematics and Computation ◽

10.1016/j.amc.2005.01.140 ◽

2006 ◽

Vol 172 (1) ◽

pp. 252-266 ◽

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed ◽

Interior Layer ◽

Asymptotic Numerical Method

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A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2004.06.015 ◽

2004 ◽

Vol 47 (10-11) ◽

pp. 1673-1688 ◽

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed

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Superconvergence of conforming finite element for fourth-order singularly perturbed problems of reaction diffusion type in 1D

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21827 ◽

2013 ◽

Vol 30 (2) ◽

pp. 550-566 ◽

Author(s):

Hailong Guo ◽

Can Huang ◽

Zhimin Zhang

Keyword(s):

Finite Element ◽

Fourth Order ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Singularly Perturbed Problems ◽

Diffusion Type ◽

Conforming Finite Element

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