Exponentially fitted third derivative three-step methods for numerical integration of stiff initial value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.05.096 ◽

2014 ◽

Vol 243 ◽

pp. 446-453 ◽

Cited By ~ 2

Author(s):

C.E. Abhulimen

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

Exponentially Fitted ◽

Third Derivative

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A fourth order exponentially-fitted multiderivative method for Stiff initial value problems

Journal of the Nigerian Association of Mathematical Physics ◽

10.4314/jonamp.v9i1.40060 ◽

2008 ◽

Vol 9 (1) ◽

Author(s):

FO Otunta ◽

CE Abhulimen

Keyword(s):

Fourth Order ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

Exponentially Fitted

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Blended extended linear multistep methods for the accurate numerical integration of stiff initial value problems

Applied Numerical Mathematics ◽

10.1016/0168-9274(85)90016-9 ◽

1985 ◽

Vol 1 (3) ◽

pp. 195-216 ◽

Cited By ~ 1

Author(s):

J.R. Cash ◽

N. Lambrou

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Multistep Methods ◽

Linear Multistep Methods ◽

Initial Value ◽

Stiff Initial Value Problems

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An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions

Computer Physics Communications ◽

10.1016/s0010-4655(98)00088-5 ◽

1998 ◽

Vol 115 (1) ◽

pp. 1-8 ◽

Cited By ~ 136

Author(s):

T.E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Oscillating Solutions ◽

Exponentially Fitted ◽

Runge Kutta

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A NON-LINEAR ABSOLUTELY-STABLE EXPLICIT NUMERICAL INTEGRATION ALGORITHM FOR STIFF INITIAL-VALUE PROBLEMS

American Journal of Applied Sciences ◽

10.3844/ajassp.2013.1363.1370 ◽

2013 ◽

Vol 10 (11) ◽

pp. 1363-1370 ◽

Cited By ~ 1

Author(s):

El-Zahar

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Initial Value ◽

Integration Algorithm ◽

Stiff Initial Value Problems ◽

Non Linear

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Second derivative of high-order accuracy methods for the numerical integration of stiff initial value problems

Afrika Matematika ◽

10.1007/s13370-015-0389-5 ◽

2016 ◽

Vol 27 (5-6) ◽

pp. 963-977 ◽

Cited By ~ 2

Author(s):

D. G. Yakubu ◽

S. Markus

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

High Order ◽

High Order Accuracy ◽

Second Derivative ◽

Initial Value ◽

Order Accuracy ◽

Stiff Initial Value Problems

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A Matricial Exponentially Fitted Scheme for the Numerical Solution of Stiff Initial-Value Problems

Computers & Mathematics with Applications ◽

10.1016/0898-1221(93)90034-s ◽

1993 ◽

Vol 26 (4) ◽

pp. 57-64 ◽

Cited By ~ 13

Author(s):

J. Carroll

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

Exponentially Fitted

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Numerical integration of initial value problems for systems with a small parameter in the derivative

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(87)90116-9 ◽

1987 ◽

Vol 27 (1) ◽

pp. 39-48 ◽

Cited By ~ 1

Author(s):

I.P. Boglayev

Keyword(s):

Small Parameter ◽

Numerical Integration ◽

Initial Value Problems ◽

Initial Value

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A family of two-step almostP-stable methods with phase-lag of order infinity for the numerical integration of second order periodic initial-value problems

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167577 ◽

1993 ◽

Vol 10 (2) ◽

pp. 289-297 ◽

Cited By ~ 5

Author(s):

T. E. Simos

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Second Order ◽

Phase Lag ◽

Initial Value ◽

Periodic Initial Value Problems

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A New Numerical Method for Solving Stiff Initial Value Problems

Fluid Mechanics Open Access ◽

10.4172/2476-2296.1000136 ◽

2016 ◽

Vol 03 (02) ◽

Cited By ~ 1

Author(s):

Bature Babangida ◽

Musa H ◽

Kane IL

Keyword(s):

Numerical Method ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems

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A FOUR-STAGE THIRD-ORDER SYMPLECTIC EXPLICIT TRIGONOMETRICALLY-FITTED RUNGE--KUTTA--NYSTR\"{O}M METHOD FOR THE NUMERICAL INTEGRATION OF OSCILLATORY INITIAL-VALUE PROBLEMS

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v111i2.3 ◽

2016 ◽

Vol 111 (2) ◽

Author(s):

M.A. Demba ◽

N. Senu ◽

F. Ismail

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Initial Value ◽

Third Order ◽

Oscillatory Initial Value Problems ◽

Runge Kutta

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