DOUBLE WALSH SERIES SOLUTION OF 1ST-ORDER PARTIAL-DIFFERENTIAL EQUATIONS

A double Walsh series is introduced to represent approximately functions of two independent variables, and is then applied to analyse single as well as simultaneous first–order partial differential equations. The solutions for the coefficient matrices can be obtained directly from Kronecker product formulae, which are suitable for computer computation. An example for a single first-order partial differential equation is solved by a double Walsh series approximation with satisfactory results. © 1978 Taylor & Francis Group, LLC.