Using Double Laplace Transform to solve Telegraph, Heat and Wave Equations

Abstract

In this thesis , first of all ,we consider double Laplace Transform method for the solution general Linear second – order partial differential equations Double Laplace transform is applied to solve the heat ,wave with constant coefficients and a general telegraph and a partial Integrodifferential equations The scheme is tested through some examples and the result demonstrate reliability and efficiency of the proposed method . Also we consider wave and heat and convection equations using the Convolution theorem by replacing non-homogeneous terms with double convolution function and by using convolution. Finally we apply double Laplace transform to solve the new wave, heat equations with non-constant coefficients.