Abstract
Abstract The single step method of generalized block-pulse functions (GBPF) is successfully applied to the analysis of linear distributed system governed by simultaneous first-order linear partial differential equations with variable coefficients. At first, a set of generalized block-pulse functions of varying, adjustable subinterval length is introduced and the GBPFs expansion of the product of two functions is given. Based on the GBPFs, a simple numerical algorithm is developed with adjustable step size to satisfy accuracy considerations. Both discrete and piecewise constant solutions are obtained. A numerical example is given to compare the solution obtained by this method with the exact solution, showing that the result is excellent.
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