Block-pulse series solution of simultaneous first-order partial differential equations

Abstract

Block-pulse series analysis is applied to simultaneous first-order partial differential equations of two independent variables. A set of linear algebraic equations with recurrent form is obtained through using the Kronecker product and block-pulse functions. After solving this set of equations recurrently, the block-pulse series solution is obtained. A numerical example is given to compare the exact solution and the solution obtained by this method.