Publications

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2014
El-Beltagy, M. A., and N. A. Al-Mulla, "Solution of the stochastic heat equation with nonlinear losses using Wiener-Hermite expansion", Journal of Applied Mathematics, vol. 2014: Hindawi Publishing Corporation, 2014. Abstract
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2013
Grace, S. R., M. A. El-Beltagy, and S. A. Deif, "Asymptotic Behavior of Non-oscillatory Solutions of Second order Integro-Dynamic Equations on Time Scales", J Appl Computat Math, vol. 2, no. 134, pp. 2, 2013. Abstract
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El-Beltagy, M. A., and A. S. Al-Johani, "Higher-Order WHEP Solutions of Quadratic Nonlinear Stochastic Oscillatory Equation", Engineering, vol. 5, no. 05: Scientific Research Publishing, pp. 57, 2013. Abstract
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El-Beltagy, M. A., and A. S. Al-Johani, "Numerical approximation of higher-order solutions of the quadratic nonlinear stochastic oscillatory equation using WHEP technique", Journal of Applied Mathematics, vol. 2013: Hindawi Publishing Corporation, 2013. Abstract
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Al-Johani, A. S., M. A. El-Beltagy, T. Simos, G. Psihoyios, and C. Tsitouras, "Numerical solution of stochastic nonlinear differential equations using wiener-hermite expansion", AIP Conference Proceedings, vol. 1558, no. 1: AIP, pp. 2099–2102, 2013. Abstract
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Fareed, A. A., H. H. El-Zoheiry, M. A. El-Tawil, M. A. El-beltagy, and H. N. Hassan, "Solving nonlinear stochastic diffusion models with nonlinear losses using the homotopy analysis method", Applied Mathematics, vol. 5, no. 01: Scientific Research Publishing, pp. 115, 2013. Abstract
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El-Beltagy, M. A., and M. I. Wafa, "Stochastic 2D incompressible Navier-Stokes solver using the vorticity-stream function formulation", Journal of Applied Mathematics, vol. 2013: Hindawi Publishing Corporation, 2013. Abstract
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El-Beltagy, M., and A. Al-Johani, "Stochastic response of duffing oscillator with fractional or variable-order damping", Journal of Fractional Calculus and Applications, vol. 4, no. 2, pp. 357–366, 2013. Abstract
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El-Beltagy, M. A., and M. A. El-Tawil, "Toward a solution of a class of non-linear stochastic perturbed PDEs using automated WHEP algorithm", Applied Mathematical Modelling, vol. 37, no. 12: Elsevier, pp. 7174–7192, 2013. Abstract
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2012
Khalil, A., M. Hesham, and M. El-Beltagy, "Domain-limited solution of the wave equation in Riemannian coordinates", Geophysics, vol. 78, no. 1: Society of Exploration Geophysicists, pp. T21–T27, 2012. Abstract
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Grace, S. R., J. R. Graef, and M. A. El-Beltagy, "On the oscillation of third order neutral delay dynamic equations on time scales", Computers & Mathematics with Applications, vol. 63, no. 4: Elsevier, pp. 775–782, 2012. Abstract
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El-Beltagy, M. A., M. I. Wafa, and O. H. Galal, "Upwind finite-volume solution of Stochastic Burgers’ equation", Applied Mathematics, vol. 3, no. 11: Scientific Research Publishing, pp. 1818, 2012. Abstract
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2011
El-Beltagy, M. A., O. H. Galal, M. I. Wafa, T. E. Simos, G. Psihoyios, C. Tsitouras, and Z. Anastassi, "Uncertainty Quantification of a 1-D Beam Deflection Due to Stochastic Parameters", AIP Conference Proceedings, vol. 1389, no. 1: AIP, pp. 2000–2003, 2011. Abstract
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2006