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American Journal of Computational Mathematics (AJCM) is a journal dedicated to providing a platform for publication of articles about mathematical research in areas of science where computing plays a central and essential role emphasizing algorithms, numerical methods, and symbolic methods. All manuscripts must be pre…
Xuzhou Chen, Robert E. Hartwig
For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D<sup>-N</sup>A<sub>N</sub> is investigated. As a special case, necessary and sufficient conditions are given for the convergence of D<sup>-N</sup>T<sup>N</sup> , where…
A. Shahsavaran
In this work, we present a computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well known Block-Pulse functions (BPfs) expansion. Error…
Katsuhiro Sakai, Daishi Watabe
According to Godunov theorem for numerical calculations of advection equations, there exist no high-er-order schemes with constant positive difference coefficients in a family of polynomial schemes with an accuracy exceeding the first-order. In case of advect…
Md Miraj Ali, Md Abdul Alim, Laek Sazzad Andallah
The conjugate effects of radiation and joule heating on magnetohydrodynamic (MHD) free convection flow along a sphere with heat generation have been investigated in this paper. The governing equations are transformed into dimensionless non-similar equations b…
Ranjan Kumar Mohanty, Vijay Dahiya
In this piece of work, using three spatial grid points, we discuss a new two-level implicit cubic spline method of O(k2 + kh2 + h4) for the solution of quasi-linear parabolic equation , 0< x <1, t > 0 subject to appropriate initial and Dirichlet boundary cond…
Gulshan Singh, Wali Mohammad Shah
In this paper, we prove some extensions and generalizations of the classical Eneström-Kakeya theorem.
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American Journal of Computational Mathematics (AJCM) is a journal dedicated to providing a platform for publication of articles about mathematical research in areas of science where computing plays a central and essential role emphasizing algorithms, numerical methods, and symbolic methods. All manuscripts must be pre… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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