Stepsize restrictions for stability of one-step methods in the numerical solution of initial value problems

Mathematics of Computation ◽

10.1090/s0025-5718-1985-0804930-8 ◽

1985 ◽

Vol 45 (172) ◽

pp. 377-377 ◽

Author(s):

M. N. Spijker

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

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On a new one-step method for numerical solution of initial-value problems in ordinary differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160108805078 ◽

2001 ◽

Vol 77 (3) ◽

pp. 457-467 ◽

Author(s):

P. Kama ◽

E.A. Ibijola

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Initial Value ◽

Step Method ◽

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Biconvergence, Bistability and Consistency of One-Step Methods for the Numerical Solution of Initial Value Problems in Ordinary Differential Equations

Topics in Numerical Analysis II ◽

10.1016/b978-0-12-496952-0.50024-6 ◽

1975 ◽

pp. 197-211 ◽

Author(s):

Friedrich Stummel

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Initial Value ◽

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The Numerical Solution of Nonlinear Stiff Initial Value Problems: An Analysis of One-Step Methods.

Mathematics of Computation ◽

10.2307/2008194 ◽

1986 ◽

Vol 47 (176) ◽

pp. 756

Author(s):

Kenneth R. Jackson ◽

W. H. Hundsdorfer

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

Initial Value ◽

Stiff Initial Value Problems ◽

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AN IMPLICIT ONE-STEP THIRD DERIVATIVE HYBRID BLOCK METHOD FOR THE NUMERICAL SOLUTION OF FIRST ORDER INITIAL VALUE PROBLEMS IN ORDINARY DIFFERENTIAL EQUATIONS.

IARJSET ◽

10.17148/iarjset.2021.8825 ◽

2021 ◽

Vol 8 (8) ◽

Author(s):

Ononogbo , .C. B. ◽

Julia , .U. E. ◽

Ishie, .I.H.

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Block Method ◽

Initial Value ◽

First Order ◽

One Step ◽

Third Derivative

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Comparative Study of a Class of One-Step Methods for the Numerical Solution of Some Initial Value Problems in Ordinary Differential Equations

Research Journal of Mathematics and Computer Science ◽

10.28933/rjmcs-2017-12-1801 ◽

2018 ◽

Keyword(s):

Differential Equations ◽

Comparative Study ◽

Numerical Solution ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Initial Value ◽

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Numerical Solution of Fuzzy Initial Value Problems by Fourth Order Runge-Kutta Method Based on Contraharmonic Mean

Indian Journal Of Applied Research ◽

10.15373/2249555x/apr2013/111 ◽

2011 ◽

Vol 3 (4) ◽

pp. 59-63 ◽

Author(s):

R. Gethsi Sharmila ◽

◽

E. C. Henry Amirtharaj

Keyword(s):

Numerical Solution ◽

Fourth Order ◽

Initial Value Problems ◽

Kutta Method ◽

Initial Value ◽

Runge Kutta Method ◽

Contraharmonic Mean ◽

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The RKGL method for the numerical solution of initial-value problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2007.01.030 ◽

2008 ◽

Vol 213 (2) ◽

pp. 477-487 ◽

Author(s):

J.S.C. Prentice

Keyword(s):

Numerical Solution ◽

Initial Value Problems ◽

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Non-linear one-step methods for initial value problems

Computers & Mathematics with Applications ◽

10.1016/0898-1221(87)90004-6 ◽

1987 ◽

Vol 13 (4) ◽

pp. 367-371 ◽

Author(s):

F.D. van Niekerk

Keyword(s):

Initial Value Problems ◽

Initial Value ◽

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Initial-value problems: one-step methods

Numerical Solution of Ordinary Differential Equations ◽

10.1007/978-94-009-3129-9_3 ◽

1987 ◽

pp. 42-77

Author(s):

L. Fox ◽

D. F. Mayers

Keyword(s):

Initial Value Problems ◽

Initial Value ◽

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New explicit high‐order one‐step methods for singular initial value problems

Computational and Mathematical Methods ◽

10.1002/cmm4.1099 ◽

2020 ◽

Author(s):

Bohdan Datsko ◽

Myroslaw Kutniv ◽

Andriy Kunynets ◽

Andrzej Włoch

Keyword(s):

Initial Value Problems ◽

Initial Value ◽

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