Scientific American

These Are the Most Beautiful Equations, according to Mathematicians

To mathematicians, equations are art. Just as many are moved by a painting or piece of music, to those who appreciate and understand math, expressions of numbers, variables, operations and relations ...
Frontiers

On the approximations to fractional nonlinear damped Burger’s-type equations that arise in fluids and plasmas using Aboodh residual power series and Aboodh transform ...

Damped Burger’s equation describes the characteristics of one-dimensional nonlinear shock waves in the presence of damping effects and is significant in fluid dynamics, plasma physics, and other ...
Frontiers

The modified finite element method for heat and mass transfer of unsteady reacting flow with mixed convection

1 Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, Saudi Arabia 2 Department of Mathematics, Air University, Islamabad, Pakistan ...
IEEE

Load- and Renewable-Following Control of Linearization-Free Differential Algebraic Equation Power System Models

Abstract: Electromechanical transients in power networks are mostly caused by a mismatch between power consumption and production, causing generators to deviate from the nominal frequency. To that end ...
archive

Theory Of Oscillations

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Scientific Research Publishing

Application of the Hybrid Differential Transform Method to the Nonlinear Equations ()

Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey. Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, Samsun, Turkey. In ...
Scientific Research Publishing

W. Sarlet, F.M. Mahomed and P.G.L.Leach, “Symmetries of nonlinear differential equations and linearization”, J. Phys. A: Math. Gen. Vol. 20, No. 2, 1987, pp.277-292.

ABSTRACT: In this paper the Modified Equations of Emden type (MEE), χ+αχχ+βχ 3 is solved numerically by the differential transform method. This technique doesn’t require any discretization, ...