Spectral Rectangular Collocation Formula: An Approach for Solving Oscillatory Initial Value Problems or/and Boundary Value Problems in Ordinary Differential Equations

Turkish Journal of Analysis and Number Theory ◽

10.12691/tjant-7-1-3 ◽

2019 ◽

Vol 7 (1) ◽

pp. 11-17

Author(s):

Oluwasegun M. Ibrahim ◽

Piers W. Lawrence

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Initial Value Problems ◽

Boundary Value ◽

Initial Value ◽

Oscillatory Initial Value Problems

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On the Transformation of a Class of Boundary Value Problems into Initial Value Problems for Ordinary Differential Equations

SIAM Review ◽

10.1137/1004006 ◽

1962 ◽

Vol 4 (1) ◽

pp. 43-47 ◽

Author(s):

Murray S. Klamkin

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Initial Value Problems ◽

Boundary Value ◽

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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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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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Boundary Value Techniques for the Numerical Solution of Certain Initial Value Problems in Ordinary Differential Equations

Journal of the ACM ◽

10.1145/321328.321338 ◽

1966 ◽

Vol 13 (2) ◽

pp. 287-295 ◽

Author(s):

Riaz A. Usmani

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Boundary Value ◽

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Supplement to Boundary Value Techniques for Initial Value Problems in Ordinary Differential Equations

Mathematics of Computation ◽

10.2307/2008073 ◽

1985 ◽

Vol 45 (171) ◽

pp. S1 ◽

Author(s):

A. O. H. Axelsson ◽

J. G. Verwer

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Boundary Value ◽

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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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An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations

Applied Mathematics and Computation ◽

10.1016/s0096-3003(02)00663-x ◽

2004 ◽

Vol 147 (1) ◽

pp. 227-240 ◽

Author(s):

T. Valanarasu ◽

N. Ramanujam

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Second Order ◽

Singularly Perturbed ◽

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BOUNDARY-VALUE TECHNIQUES FOR THE NUMERICAL SOLUTION OF INITIAL-VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/10.2.232 ◽

1957 ◽

Vol 10 (2) ◽

pp. 232-243 ◽

Author(s):

L. FOX ◽

A. R. MITCHELL

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Boundary Value ◽

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Boundary value techniques for initial value problems in ordinary differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-1985-0790649-9 ◽

1985 ◽

Vol 45 (171) ◽

pp. 153 ◽

Author(s):

A. O. H. Axelsson ◽

J. G. Verwer

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Boundary Value ◽

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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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