Solving Vibration Equations of MDOF Systems by Modified Differential Transform Method

Solving Vibration Equations of MDOF Systems by Modified Differential Transform Method

Vibration equations of discrete multi-degrees-of-freedom (MDOF)structural systems is system of differential equations. In linear systems,the differential equations are also linear. Various analytical andnumerical methods are available for solving the vibration equations instructural dynamics. In this paper modified differential transformmethod (MDTM) as a semi-analytical approach is generalized for thesystem of differential equations and is utilized for solving the vibrationequations of MDOF ...

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Mathematical Modeling of Differential Equations of Concentration in a Sieve-Plate Extraction Column

Mathematical Modeling of Differential Equations of Concentration in a Sieve-Plate Extraction Column

In this study, the solute concentration in a Sieve-plate column was modeled. Two different models that were continuous phase axial dispersion model and disperse-continuous phase axial dispersion model were considered to simulate the behavior of the plate column under different flow rates. In fact, the solute concentration profiles in both disperse and continuous phase based on dispersion model with and without consideration of axial dispersion in both phase were studied. These models were ...

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Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform- homotopy perturbation Method

Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform- homotopy perturbation Method

In this paper , the Combined Laplace Transform- homotopy perturbation Method is used to solve nthorder integro-differential equations . The results show that the method is very simple and effective.Comparisonn with exact solution shows that the method is very effective and convenient for solvingintegral equations. ...

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Solving nonlinear Volterra integro-differential equations via improvement of variational iteration method

Solving nonlinear Volterra integro-differential equations via improvement of variational iteration method

In this paper an efficient numerical method is proposed for solving the specific nonlinear Volterra integro-differential equation which is a combination of the variation iteration method and the spectral collocation method. This method is easy to implement and possesses the high-order accuracy. Illustrative examples are provided to illustrate the validity and reliability of the propose method. Numerical results obtained are compared favorably with the exact solutions. ...

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Handbook of Differential Equations

Handbook of Differential Equations

Handbook of Differential Equations ...

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Numerical Solution of Nonlinear Equations

Numerical Solution of Nonlinear Equations

Many problems in engineering and sciencerequire the solution of nonlinear equations. Several examples of such problems drawn from the field of chemical engineering and from other application areas are discussed in this section.The methods of solution are developed in the remaining sections of the chapter, and specific examples of the solutions are demonstrated using the MATLAB software. مقاله فوق تحت عنوان حل عددی معادلات غیر خطی برای ...

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