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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…
David Webb, Qian Liu, Wissam Alobaidi, Eric Sandgren
A topological structural design approach is presented which is based upon the implementation of a two phase evolutionary optimization algorithm in conjunction with a finite element analysis code. The first phase utilizes a conventional genetic approach which…
Eduardo Antonio Cano-Plata, Armando J. Ustariz-Farfán, Jorge H. Estrada-Estrada
In this paper, wavelet transform and entropy are evaluated using the mathematical analysis concepts of reflexibility, regularity and series obtention, th e s e concept s remark the reason to make a selective reference framework for power quality applications.…
A. D. Abin Rejeesh, S. Udhayakumar, T. V. S. Sekhar, R. Sivakumar
We have successfully attempted to solve the equations of full-MHD model within the framework of Ψ - ω formulation with an objective to evaluate the performance of a new higher order scheme to predict better values of control parameters of the flow.…
Hasan Alzubaidi
The exponentially-distributed random timestepping algorithm with boundary test is implemented to evaluate the prices of some variety of single one-sided barrier option contracts within the framework of Black-Scholes model, giving efficient estimation of their…
Muhammad Saqib, Shahid Hasnain, Daoud Suleiman Mashat
To develop an efficient numerical scheme for two-dimensional convection diffusion equation using Crank-Nicholson and ADI, time-dependent nonlinear system is discussed. These schemes are of second order accurate in apace and time solved at each time level. The…
Nandita Barua Singha, Ujjwal Kumar Deb, Mushfique Shahriar
In the microalgae based biofuel technology, two main cultivation methods are available such as the Open pond system and the Closed photo bioreactor (PBR). The primary advantages of utilizing open raceway ponds are low production and maintenance cost. Though t…
Shahid Hasnain, Muhammad Saqib, Daoud Suleiman Mashat
This research paper represents a numerical approximation to non-linear two - dimensional reaction diffusion equation from population genetics. Since various initial and boundary value problems exist in two - dimensional reaction-diffusion , phenomena are stud…
Mariam Al-Mazmumy, Safa Otyuan Almuhalbedi
In this paper, we used an efficient algorithm to obtain an analytic approximation for Volterra ’ s model for population growth of a species within a closed system, called the Restarted Adomian decomposition method (RADM) to solve the model. The numerical resu…
S. M. Sayed, N. O. Al-Atawi
In this paper, we shall show that the Hamiltonian structure can be defined for any nonlinear evolution equations which describe surfaces of a constant negative curvature, so that the densities of conservation laws can be considered as corresponding Hamiltonia…
M. Al-Towaiq, Ahmad H. Alkasasbeh
In this paper, a modified algorithm is proposed for solving linear integro-differential equations of the second kind. The main idea is based on applying Romberg extrapolation algorithm (REA), on Trapezoidal rule. In accordance with the computational perspecti…
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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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