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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…
Rowsanara Akhter, Mohammad Mokaddes Ali, Babul Hossain, M. Sharif Uddin
A numerical investigation is performed to study the effect of thermal radiation on magnetohydrodynamic (MHD) free convection flow along a vertical flat plate in presence of variable thermal conductivity in this paper. The governing equations of the flow and t…
Luca Perotti, Daniel Vrinceanu, Daniel Bessis
We present a numerical study of the resolution power of Padé Approximations to the Z -transform, compared to the Fourier transform. As signals are represented as isolated poles of the Padé Approximant to the Z -transform, resolution depends on the relative po…
Victor Pereyra
Repeated simulation s of large scale wave propagation problems are prevalent in many fields. In oil exploration earth imaging problems , the use of full wave simulations is becoming routine and it is only hampered by the extreme computational resources requir…
Ivan Arango, Fabio Pineda, Oscar Ruiz
This article describes the implementation of a novel method for detection and continuation of bifurcations in non-smooth complex dynamic systems. The method is an alternative to existing ones for the follow-up of associated phenomena, precisely in the circums…
Mehwish Bari, Ghulam Mustafa
The n -ary subdivision schemes contrast favorably with their binary analogues because they are capable to produce limit functions with the same (or higher) smoothness but smaller support. We present an algorithm to generate the 4-point n -ary non-stationary s…
Dongming Wei, Mohamed B. M. Elgindi
In this work, we present a priori error estimates of finite element approximations of the solution for the equilibrium equation of an axially loaded Ramberg-Osgood bar. The existence and uniqueness of the solution to the associated nonlinear two point boundar…
Ludmila Petrova
The equations of mathematical physics, which describe some actual processes, are defined on manifolds (tangent, a companying or others) that are not integrable. The derivatives on such manifolds turn out to be inconsistent, i . e . they don’t form a different…
Shafiq Ur Rehman
N -body simulations of the Sun, the planets, and small celestial bodies are frequently used to model the evolution of the Solar System. Large numbers of numerical integrators for performing such simulations have been developed and used; see, for example, [1 ,…
Amnah S. Al-Johani
In this paper, quadratic nonlinear oscillators under stochastic excitation are considered. The Wiener-Hermite expansion with perturbation (WHEP) method and the homotopy perturbation method (HPM) are used and compared. Different approximation orders are consid…
Magdy Ahmed Mohamed, Mohamed Shibl Torky
In this paper , Laplace decomposition method (LDM) and Pade approximant are employed to find approximate solutions for the Whitham - Broer - Kaup shallow water model, the coupled nonlinear reaction diffusion equations and the system of Hirota - Satsuma couple…
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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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