2015
DOI: 10.1007/s11075-015-0081-8
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An optimized two-step hybrid block method for solving general second order initial-value problems

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Cited by 155 publications
(52 citation statements)
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“…Since then, several authors constructed EF/TF RK methods,() EF/TF RKN methods,() and two‐step hybrid methods. () Here, we will construct modified methods following both approaches.…”
Section: Construction Of the New Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Since then, several authors constructed EF/TF RK methods,() EF/TF RKN methods,() and two‐step hybrid methods. () Here, we will construct modified methods following both approaches.…”
Section: Construction Of the New Methodsmentioning
confidence: 99%
“…14 [18][19][20][21][22] and two-step hybrid methods. 11,23 Here, we will construct modified methods following both approaches.…”
Section: Methods With Variable Coefficientsmentioning
confidence: 99%
“…Then, we choose the two body problem [48][49][50] with eccentricity 0.1, , 0] T . The corresponding results can be found in Table 4.…”
Section: Two Body Problemmentioning
confidence: 99%
“…Problem 2. Inhomogeneous equation: It has the form, 47,48 x ′′ = −100x(t) + 99 sin(t), x(0) = 1, x ′ (0) = 11, with analytical solution, 49,50 x(t) = cos(10t) + sin(10t) + sin(t).…”
Section: Numerical Performancesmentioning
confidence: 99%