Developing effective multistep methods for the numerical solution of systems of second order initial value problems

Lecture Notes in Mathematics - Numerical Analysis ◽

10.1007/bfb0092970 ◽

1982 ◽

pp. 159-165 ◽

Cited By ~ 1

Author(s):

W. H. Enright

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Multistep Methods ◽

Second Order ◽

Initial Value

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Inverse linear multistep methods for the numerical solution of initial value problems of second order differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(81)90043-7 ◽

1981 ◽

Vol 7 (2) ◽

pp. 111-114 ◽

Cited By ~ 1

Author(s):

U.Anantha Krishnaiah

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Initial Value Problems ◽

Multistep Methods ◽

Second Order ◽

Linear Multistep Methods ◽

Initial Value ◽

Second Order Differential Equations

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Inverse Hybrid Linear Multistep Methods for Solving the Second Order Initial Value Problems in Ordinary Differential Equations

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-020-00910-6 ◽

2020 ◽

Vol 6 (6) ◽

Author(s):

Oluwasegun M. Ibrahim ◽

Monday N. O. Ikhile

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Multistep Methods ◽

Second Order ◽

Linear Multistep Methods ◽

Initial Value

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EXPFIT4 — a FORTRAN program for the numerical solution of systems of nonlinear second-order initial-value problems

Computer Physics Communications ◽

10.1016/s0010-4655(96)00146-4 ◽

1997 ◽

Vol 100 (1-2) ◽

pp. 71-80 ◽

Cited By ~ 28

Author(s):

L.Gr. Ixaru ◽

H. De Meyer ◽

G.Vanden Berghe ◽

M. Van Daele

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Fortran Program ◽

Second Order ◽

Initial Value

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Second Derivative Two-step Block Hybrid Enright’s Linear Multistep Methods for Solving Initial Value Problems of General Second Order Stiff Ordinary Differential Equations

Journal of Advances in Mathematics and Computer Science ◽

10.9734/jamcs/2019/45557 ◽

2019 ◽

Vol 30 (2) ◽

pp. 1-10

Author(s):

Sabo John ◽

Yusuf, T. Kyagya ◽

Adamu, A. Bumbur

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Multistep Methods ◽

Second Order ◽

Linear Multistep Methods ◽

Second Derivative ◽

Initial Value ◽

Stiff Ordinary Differential Equations

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Inverse linear multistep methods for the numerical solution of initial value problems of ordinary differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-1979-0514813-6 ◽

1979 ◽

Vol 33 (145) ◽

pp. 111-124 ◽

Cited By ~ 2

Author(s):

Peter Alfeld

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Multistep Methods ◽

Linear Multistep Methods ◽

Initial Value

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Third derivative modification of k-step block Falkner methods for the numerical solution of second order initial-value problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.03.098 ◽

2018 ◽

Vol 333 ◽

pp. 231-245 ◽

Cited By ~ 2

Author(s):

Higinio Ramos ◽

M.A. Rufai

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Third Derivative

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Numerical solution of random differential initial value problems: Multistep methods

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1331 ◽

2010 ◽

Vol 34 (1) ◽

pp. 63-75 ◽

Cited By ~ 11

Author(s):

J. C. Cortés ◽

L. Jódar ◽

L. Villafuerte

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Multistep Methods ◽

Initial Value

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Numerical Solution of Second Order Initial Value Problems of Bratu-type Equations using Sixth Order Runge-Kutta Seven Stages Method

International Journal of Computing Science and Applied Mathematics ◽

10.12962/j24775401.v5i1.3806 ◽

2019 ◽

Vol 5 (1) ◽

pp. 10

Author(s):

Hibist Bazezew Fenta ◽

Getachew Adamu Derese

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Second Order ◽

Sixth Order ◽

Initial Value ◽

Runge Kutta

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Enhanced Numerov Method for the Numerical Solution of Second Order Initial Value Problems

Journal of Physics Conference Series ◽

10.1088/1742-6596/1734/1/012014 ◽

2021 ◽

Vol 1734 ◽

pp. 012014

Author(s):

G. O. Akinlabi ◽

S. A. Bishop ◽

S. O. Edeki

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Numerov Method

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An explicit six-step singularly P-stable Obrechkoff method for the numerical solution of second-order oscillatory initial value problems

Numerical Algorithms ◽

10.1007/s11075-019-00784-w ◽

2019 ◽

Vol 84 (3) ◽

pp. 871-886

Author(s):

Mohammad Mehdizadeh Khalsaraei ◽

Ali Shokri

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Second Order ◽

Initial Value ◽

Oscillatory Initial Value Problems

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