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

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 ◽

Second Order Differential Equations

Initial Value ◽

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 ◽

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 ◽

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 ◽

Stiff Ordinary Differential Equations

Second Derivative ◽

Initial Value ◽

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 ◽

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

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 ◽

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

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

Oscillatory Initial Value Problems

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 ◽