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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Stability and convergence of a class of variable order non-linear one-step rational integrators of initial value problems in ordinary differential equations

International Journal of Computer Mathematics ◽

10.1080/00207169608804537 ◽

1996 ◽

Vol 62 (3-4) ◽

pp. 199-208 ◽

Author(s):

F. O. Otunta ◽

M. O. N. Ikhile

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Initial Value Problems ◽

Stability And Convergence ◽

Variable Order ◽

Initial Value ◽

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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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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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An integro quadratic spline approach for a class of variable-order fractional initial value problems

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.03.065 ◽

2017 ◽

Vol 102 ◽

pp. 354-360 ◽

Author(s):

B.P. Moghaddam ◽

J.A.T. Machado ◽

H. Behforooz

Keyword(s):

Initial Value Problems ◽

Variable Order ◽

Initial Value ◽

Quadratic Spline

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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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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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The uniqueness result of solutions to initial value problems of differential equations of variable-order

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-017-0389-4 ◽

2017 ◽

Vol 112 (2) ◽

pp. 407-423 ◽

Author(s):

Shuqin Zhang

Keyword(s):

Differential Equations ◽

Initial Value Problems ◽

Uniqueness Result ◽

Variable Order ◽

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A Nonlinear Explicit One-Step Integration Scheme for Singular Autonomous Initial Value Problems

10.1063/1.2790175 ◽

2007 ◽

Author(s):

Higinio Ramos ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Initial Value Problems ◽

Integration Scheme ◽

Initial Value ◽

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