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Showing total 4 results
Start Over Topic analytical solution Publication Type Academic Journals Journal mathematical & computer modelling
4 results

1. The solution of the time-fractional diffusion equation by the generalized differential transform method.

Author

Çetinkaya, Ayşegül and Kıymaz, Onur

Subjects
*NUMERICAL solutions to heat equation, *GENERALIZATION, *DIFFERENTIAL transformers, *MATHEMATICAL analysis, *NUMERICAL solutions to boundary value problems, *RECURSIVE sequences (Mathematics)
Abstract

Abstract: In the present paper, a general recurrence relation for determining the solutions of the time-fractional diffusion equation is obtained with the generalized differential transform method. The obtained relation will help us to solve time-fractional diffusion equations with various external forces and initial conditions. Four illustrative examples are given. [Copyright &y& Elsevier]

Published
2013
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2. Application of the homotopy analysis method for solving a model for HIV infection of CD4+ T-cells

Author

Ghoreishi, M., Ismail, A.I.B.Md., and Alomari, A.K.

Subjects
*HIV infections, *CD antigens, *T cells, *MATHEMATICAL models in medicine, *HOMOTOPY theory, *DIFFERENTIAL equations, *STOCHASTIC convergence, *INFINITE series (Mathematics)
Abstract

Abstract: In this paper, the homotopy analysis method (HAM) is investigated to give an approximate solution of a model for HIV infection of CD4+ T-cells. This method allows for the solution of the governing differential equation to be calculated in the form of an infinite series with components which can be easily calculated. The HAM utilizes a simple method to adjust and control the convergence region of the infinite series solution by using an auxiliary parameter. The results obtained are presented, and six terms are sufficient to obtain an approximation solution that is very accurate. [Copyright &y& Elsevier]

Published
2011
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3. The Comparative Boubaker Polynomials Expansion Scheme (BPES) and Homotopy Perturbation Method (HPM) for solving a standard nonlinear second-order boundary value problem

Author

Koçak, H., Yıldırım, A., Zhang, D.H., and Mohyud-Din, S.T.

Subjects
*POLYNOMIALS, *COMPARATIVE studies, *HOMOTOPY theory, *PERTURBATION theory, *NUMERICAL solutions to boundary value problems, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, we propose an analytical solution to a nonlinear second-order boundary value problem using the Homotopy Perturbation Method (HPM) and the 4q-Boubaker Polynomials Expansion Scheme (BPES). Both methods have been applied to a particular differential problem. The results are plotted, and compared with exact solutions proposed elsewhere, in order to evaluate accuracy. [Copyright &y& Elsevier]

Published
2011
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4. Analytical solution of nonlinear Poisson equation for symmetric double-gate metal-oxide-semiconductor field effect transistors

Author

Lo, Shih-Ching, Li, Yiming, and Yu, Shao-Ming

Subjects
*POISSON processes, *METAL semiconductor field-effect transistors, *ELECTRON distribution, *NUMERICAL analysis
Abstract

Abstract: In this paper, an analytical solution of the Poisson equation for double-gate metal-semiconductor-oxide field effect transistor (MOSFET) is presented, where explicit surface potential is derived so that the whole solution is fully analytical. Based on approximations of potential distribution, our solution scheme successfully takes the effect of doping concentration in each region. It provides an accurate description for partially and fully depleted MOSFET devices in different regions of operation. Comparison with numerical data shows that the solution gives good approximations of potential for MOSFETs under different biases and geometry configurations. The solution can be applied to estimate classical and quantum electron density of nanoscale double-gate MOSFETs. [Copyright &y& Elsevier]

Published
2007
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