Initial or Boundary Value Problems for Systems of Singularly Perturbed Differential Equations and Their Solution Profile

Springer Proceedings in Mathematics & Statistics - Differential Equations and Numerical Analysis ◽

10.1007/978-81-322-3598-9_4 ◽

2016 ◽

pp. 63-73

Author(s):

Valarmathi Sigamani

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

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 ◽

Cited By ~ 2

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 ◽

Cited By ~ 18

Author(s):

S. Natesan ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Chemical Reactor ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value

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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 ◽

Cited By ~ 33

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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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 ◽

Cited By ~ 6

Author(s):

T. Valanarasu ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

Initial Value ◽

Two Parameter

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Experimental studies on illposed singularly perturbed boundary value problems for parabolic differential equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/290/1/012013 ◽

2011 ◽

Vol 290 ◽

pp. 012013

Author(s):

Hans-Jürgen Reinhardt

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Experimental Studies ◽

Singularly Perturbed ◽

Parabolic Differential Equations

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Boundary value problems for second order singularly perturbed differential equations

Applied Mathematics and Mechanics ◽

10.1007/bf02017891 ◽

1988 ◽

Vol 9 (1) ◽

pp. 95-99 ◽

Cited By ~ 1

Author(s):

Zhou Qin-de ◽

Miao Shu-mei

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed

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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 ◽

Third Order

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Notorious Boundary Value Problems: Singularly Perturbed Differential Equations and Their Numerical Treatment

Advanced Numerical Methods for Differential Equations ◽

10.1201/9781003097938-5 ◽

2021 ◽

pp. 109-134

Author(s):

Naresh M. Chadha ◽

Sunita Kumawat

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Numerical Treatment

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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 ◽

Cited By ~ 14

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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On the construction of asymptotic solutions of two-point boundary-value problems for degenerate singularly perturbed systems of differential equations

Nonlinear Oscillations ◽

10.1007/s11072-010-0114-0 ◽

2010 ◽

Vol 13 (2) ◽

pp. 295-309 ◽

Cited By ~ 1

Author(s):

V. P. Yakovets’ ◽

M. B. Vira

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Singularly Perturbed ◽

Asymptotic Solutions ◽

Point Boundary ◽

Singularly Perturbed Systems ◽

Systems Of Differential Equations ◽

Perturbed Systems

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