A Class of Hybrid Methods for Direct Integration of Fourth-Order Ordinary Differential Equations
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0520-x
Abstract: A class of hybrid methods for solving fourth-order ordinary differential equations (HMFD) is proposed and investigated. Using the theory of B-series, we study the order of convergence of the HMFD methods. The main result is… read more here.
Keywords: ordinary differential; order; order ordinary; fourth order ... See more keywords
On Solvability Theorems of Second-Order Ordinary Differential Equations with Delay
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DOI: 10.1155/2018/5321314
Abstract: For each and , we obtain some existence theorems of periodic solutions to the two-point boundary value problem in with when is a Caratheodory function which grows linearly in as , and may satisfy a… read more here.
Keywords: ordinary differential; solvability theorems; second order; order ordinary ... See more keywords
Benchmark problems for Caputo fractional-order ordinary differential equations
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DOI: 10.1515/fca-2017-0068
Abstract: Abstract There are many numerical algorithms for solving the fractional-order ordinary differential equations (FODEs). They are usually very different in nature, and it is difficult to compare their performances. To solve this problem, a set… read more here.
Keywords: ordinary differential; benchmark problems; fractional order; order ordinary ... See more keywords
Oscillation Criteria for Second Order Ordinary Differential Equations
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DOI: 10.4153/s0008439519000262
Abstract: Abstract We establish new oscillation criteria for nonlinear differential equations of second order. The results here make some improvements of oscillation criteria of Butler, Erbe, and Mingarelli [2], Wong [8, 9], and Philos and Purnaras… read more here.
Keywords: differential equations; oscillation criteria; criteria second; order ordinary ... See more keywords