A STUDY ON FINITE DIFFERENCE METHOD USING EXPLICIT AND MONOTONE SCHEME HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION

A STUDY ON FINITE DIFFERENCE METHOD USING EXPLICIT AND MONOTONE SCHEME HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION

P. Sowmiya, G. K. Revathi, M. Sakthipriya

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Abstract

All the problems almost in science and technology can be expressed math- ematically in the form of partial di erential equation. Mainly all the types of partial di erential equation has a speci c characters. Specially hyperbolic equation is associ- ated with vibrations and sounds especially problems related to time, heat, di usion and elasticity. In this paper, the author discussed the explicit and monotone scheme based on  nite di erence method to  nd the numerical solution of hyperbolic partial di erential equation with linear advection equation and also discussed the upwind di erence scheme which was extended to an monotone scheme.

Keywords

Explicit scheme, monotone scheme, numerical, hyperbolic PDE.