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

Applied Mathematics and Computation ◽

10.1016/s0096-3003(01)00040-6 ◽

2002 ◽

Vol 129 (2-3) ◽

pp. 269-294 ◽

Author(s):

V. Shanthi ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Fourth Order ◽

Boundary Value ◽

Singularly Perturbed

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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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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 numerical method based on finite difference for boundary value problems for singularly perturbed delay differential equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.08.089 ◽

2008 ◽

Vol 197 (2) ◽

pp. 692-707 ◽

Author(s):

Mohan K. Kadalbajoo ◽

Kapil K. Sharma

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

Delay Differential Equations ◽

Boundary Value ◽

Singularly Perturbed ◽

Delay Differential

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Nodal solutions of boundary value problems of fourth-order ordinary differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2005.06.045 ◽

2006 ◽

Vol 319 (2) ◽

pp. 424-434 ◽

Author(s):

Ruyun Ma

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Fourth Order ◽

Boundary Value ◽

Nodal Solutions

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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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A Numerical Method for Solving of the Boundary Value Problems for Ordinary Differential Equations

Results in Mathematics ◽

10.1007/s00025-008-0340-2 ◽

2009 ◽

Vol 53 (3-4) ◽

pp. 295-302 ◽

Author(s):

Ghiocel Groza ◽

Nicolae Pop

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Numerical Method ◽

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UNIQUENESS OF SOLUTIONS OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR THIRD ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30163-2 ◽

1992 ◽

Vol 12 (3) ◽

pp. 304-307

Author(s):

Weili Zhao

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Nonlinear Ordinary Differential Equations ◽

Uniqueness Of Solutions ◽

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Weighted Eigenvalue, Eigenfunctions and Boundary Value Problems for Fourth Order Ordinary Differential Equations

Recent Trends in Differential Equations ◽

10.1142/9789812798893_0019 ◽

1992 ◽

pp. 253-267 ◽

Author(s):

Chaitan P. Gupta ◽

Jean Mawhin

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Fourth Order ◽

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