S. Sekar, M. Vijayarakavan
Department of Mathematics
Government Arts College (Autonomous)
Salem, 636 007, Tamil Nadu, INDIA
Department of Mathematics
V.M.K.V. Engineering College
Salem, 636 308,Tamil Nadu, INDIA

Abstract. In this paper, We develop the Leapfrog method for solving RLC smoothing circuit [#!sse10!#]. The obtain discrete solutions were compared with another method taken from the literature [#!sse10!#]. The results obtained using Leapfrog is found to be very closer to the original solutions of these problems. Error graphs for the obtained results and exact solutions are presented in a graphical form to highlight the efficiency of this method. This Leapfrog method can be easily implemented in a digital computer and the solution can be obtained for any length of time.

Received: October 23, 2015

AMS Subject Classification: 65L80, 65L05

Key Words and Phrases: state space equation, differential equations, initial value problems, single term Haar wavelet series, Leapfrog method

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