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.
