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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A new approach to constructing of explicit one-step methods of high order for singular initial value problems for nonlinear ordinary differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.09.006 ◽

2020 ◽

Vol 148 ◽

pp. 140-151 ◽

Author(s):

M.V. Kutniv ◽

B.Y. Datsko ◽

A.V. Kunynets ◽

A. Włoch

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Nonlinear Ordinary Differential Equations ◽

Initial Value ◽

New Approach ◽

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High-order one-step P-stable methods for the numerical integration of periodic initial value problems

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(83)90007-9 ◽

1983 ◽

Vol 9 (4) ◽

pp. 361-367 ◽

Author(s):

R.K. Jain ◽

N.S. Kambo ◽

Rakesh Goel

Keyword(s):

Numerical Integration ◽

Initial Value Problems ◽

Initial Value ◽

One Step ◽

Periodic Initial Value Problems

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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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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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A family of numerical methods for the solution of high-order general initial value problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(88)90066-7 ◽

1988 ◽

Vol 67 (1) ◽

pp. 15-25 ◽

Author(s):

E.H Twizell

Keyword(s):

Numerical Methods ◽

Initial Value Problems ◽

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High-order nonlinear initial-value problems countably determined

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.08.039 ◽

2009 ◽

Vol 228 (1) ◽

pp. 77-82 ◽

Author(s):

D. Gámez ◽

A.I. Garralda Guillem ◽

M. Ruiz Galán

Keyword(s):

Initial Value Problems ◽

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A general [L, M] one-step integrator for initial value problems

International Journal of Computer Mathematics ◽

10.1080/00207160903444324 ◽

2010 ◽

Vol 88 (2) ◽

pp. 348-359

Author(s):

U. S.U. Aashikpelokhai

Keyword(s):

Initial Value Problems ◽

Initial Value ◽

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Variable order one-step methods for initial value problems I

Journal of the Nigerian Association of Mathematical Physics ◽

10.4314/jonamp.v10i1.40111 ◽

2008 ◽

Vol 10 (1) ◽

Author(s):

GC Nwachukwu ◽

FO Otunta

Keyword(s):

Initial Value Problems ◽

Variable Order ◽

Initial Value ◽

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ONE STEP BLOCK METHOD FOR THE DIRECT SOLUTION OF THIRD ORDER INITIAL VALUE PROBLEMS OF ORDINARY DIFFERENTIAL EQUATIONS

Far East Journal of Mathematical Sciences (FJMS) ◽

10.17654/ms099060945 ◽

2016 ◽

Vol 99 (6) ◽

pp. 945-958

Author(s):

Ra’ft Abdelrahim ◽

Z. Omar

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Direct Solution ◽

Block Method ◽

Initial Value ◽

Third Order ◽

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