CLASSIFICATION OF LINEAR SECOND ORDER PDE’S BEFORE AND AFTER THE DOUBLE CONVOLUTION USING MAPLE
The research paper considers different types of constant coefficients second order partial differential equations-PDE’s for various classification. The convolution types of these partial differential equations-PDE’s are also classified. Both these classifications are achieved by application of Maple program. Various examples of classifications before and after convolution are presented for some choices of polynomial types of convolution function in two variables. The results provide bases for similarities and as such proper methods in the solution of constant partial differential equations-PDE’s before and after the convolution.
classification of PDEs, convolution, second order PDE.