Second-order accurate difference method for the singularly perturbed problem of fourth-order ordinary differential equations

Applied Mathematics and Mechanics ◽

10.1007/bf02016376 ◽

1990 ◽

Vol 11 (5) ◽

pp. 463-468 ◽

Author(s):

Wang Guo-ying ◽

Chen Ming-lun

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Difference Method ◽

Second Order ◽

Singularly Perturbed ◽

Singularly Perturbed Problem

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SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS HAVING WEAKLY DISCONTINUOUS REDUCED SOLUTIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30303-5 ◽

1988 ◽

Vol 8 (3) ◽

pp. 239-248 ◽

Author(s):

Weili Zhao

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Nonlinear Ordinary Differential Equations

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Initial-Value Technique for Singularly Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations Arising in Chemical Reactor Theory

Journal of Optimization Theory and Applications ◽

10.1023/a:1022639003366 ◽

1998 ◽

Vol 97 (2) ◽

pp. 455-470 ◽

Author(s):

S. Natesan ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Chemical Reactor ◽

Second Order ◽

Singularly Perturbed ◽

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A Second Order Stabilized Central Difference Method for Singularly Perturbed Differential Equations with a Large Negative Shift

Differential Equations and Dynamical Systems ◽

10.1007/s12591-020-00532-w ◽

2020 ◽

Author(s):

N. Sathya Kumar ◽

R. Nageshwar Rao

Keyword(s):

Differential Equations ◽

Difference Method ◽

Second Order ◽

Singularly Perturbed ◽

Central Difference ◽

Negative Shift ◽

Central Difference Method

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Fourth-order explicit hybrid method for solving special second-order ordinary differential equations

10.1063/1.4801123 ◽

2013 ◽

Author(s):

Faieza Samat ◽

Fudziah Ismail

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Hybrid Method ◽

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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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Developing Fourth Order Block Backward Differentiation Formulas for Solving Second Order Ordinary Differential Equations Directly

Advanced Science Letters ◽

10.1166/asl.2013.4940 ◽

2013 ◽

Vol 19 (8) ◽

pp. 2481-2485 ◽

Author(s):

Z. B. Ibrahim ◽

N. Zainuddin ◽

M. B. Suleiman ◽

K. I. Othman

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Fourth Order ◽

Second Order ◽

Backward Differentiation Formulas ◽

Differentiation Formulas

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Asymptotic initial value methods for two-parameter singularly perturbed boundary value problems for second order ordinary differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00160-1 ◽

2003 ◽

Vol 137 (2-3) ◽

pp. 549-570 ◽

Author(s):

T. Valanarasu ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value ◽

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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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Asymptotic Initial-Value Method for Singularly-Perturbed Boundary-Value Problems for Second-Order Ordinary Differential Equations

Journal of Optimization Theory and Applications ◽

10.1023/a:1022118420907 ◽

2003 ◽

Vol 116 (1) ◽

pp. 167-182 ◽

Author(s):

T. Valanarasu ◽

N. Ramanujan

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

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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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