Journal•ISSN: 0377-0427
Journal of Computational and Applied Mathematics
Elsevier BV
About: Journal of Computational and Applied Mathematics is an academic journal published by Elsevier BV. The journal publishes majorly in the area(s): Numerical analysis & Mathematics. It has an ISSN identifier of 0377-0427. Over the lifetime, 14243 publications have been published receiving 314265 citations.
Topics: Numerical analysis, Mathematics, Nonlinear system, Finite element method, Boundary value problem
Papers published on a yearly basis
Papers
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TL;DR: A new graphical display is proposed for partitioning techniques, where each cluster is represented by a so-called silhouette, which is based on the comparison of its tightness and separation, and provides an evaluation of clustering validity.
14,144 citations
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TL;DR: In this article, a family of embedded Runge-Kutta formulae RK5 (4) are derived from these and a small principal truncation term in the fifth order and extended regions of absolute stability.
3,106 citations
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TL;DR: A new definition of fractional derivative and fractional integral is given and it is shown that it is the most natural definition, and the most fruitful one.
2,068 citations
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TL;DR: In this paper, the authors developed practical numerical methods to solve one dimensional fractional advection-dispersion equations with variable coefficients on a finite domain and demonstrated the practical application of these results is illustrated by modeling a radial flow problem.
1,334 citations
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TL;DR: The basic concepts in this new simple interesting fractional calculus called conformable fractional derivative are set and the fractional versions of chain rule, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions, Laplace transforms and linear differential systems are proposed and discussed.
1,331 citations