Abstract:In Navier-Stokes equation, dropping the pressure term, we obtain Burger's equation. The equation frequently occurs in modeling of gas dynamics and traffic flow, and it divides inviscid form and viscous one. In this article, we have checked the representation of Burger's equation by Laplace transform.
We have checked the shifted data problems by using transform of derivatives. In particular, we have put emphasis on the representation of £(y ) and £(y ) to f (a) and f (a) for any number a.
Mathematics Subject Classification: 35A22, 44A10
We have checked the shifted data problems by using transform of derivatives. In particular, we have put emphasis on the representation of £(y ) and £(y ) to f (a) and f (a) for any number a.
Mathematics Subject Classification: 35A22, 44A10
The equation which expresses the principle of energy conservation for the vibrating string can be derived from the homogeneous or inhomogeneous wave equation. In this article, we have checked the variants of energy equation induced by the vibrating string.
The relation between transform of derivative and differentiation of transform has been checked. The relation plays an important role to represent differential equations with variable coefficients.
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