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Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0891-0
Abstract: In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A study of some families of…
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Keywords:
associated families;
bernoulli euler;
formulas associated;
euler polynomials ... See more keywords
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Published in 2018 at "Cybernetics and Systems Analysis"
DOI: 10.1007/s10559-018-0097-x
Abstract: An algorithm is presented to solve the biharmonic problem for clamped plate by the Ritz method, with the use of explicit formulas for splines of degree 5 on a triangular grid of nodes. A computational…
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Keywords:
ritz method;
plate;
formulas splines;
splines degree ... See more keywords
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Published in 2020 at "Ain Shams Engineering Journal"
DOI: 10.1016/j.asej.2020.08.023
Abstract: Abstract Matrices have important applications of statistical analysis, circuits, mechanics, optics, and quantum physics. In this article, matrix explicit formulas of the exponentials for computing exp(αA), where A is a special n × n matrix and α…
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Keywords:
new explicit;
fractional derivative;
matrices fractional;
special matrices ... See more keywords
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Published in 2021 at "Computers and Concrete"
DOI: 10.12989/cac.2021.27.2.143
Abstract: Large dams are a part of the infrastructure of any society, and a huge amount of resources are consumed to build them. Among the various types of dams, the optimum design of concrete gravity dams…
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Keywords:
concrete gravity;
gravity dams;
optimum design;
gravity ... See more keywords
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Published in 2017 at "International Journal of Approximate Reasoning"
DOI: 10.21474/ijar01/5043
Abstract: ...................................................................................................................... Introduction:Consider the linear vector differential equation ̇( ) ( ) where ( ) is an n-vector and A is an matrix. It plays a fundamental role in the study of dynamical systems and linear…
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Keywords:
special matrices;
exponentials special;
formulas exponentials;
explicit formulas ... See more keywords