B-spline method for second order RLC closed series circuit with small inductance value

Abstract

In this article, we investigates the application of RLC closed series electric circuits. We form the second order linear differential equations for an electric circuit depends upon the Kirchhoffs Voltage laws. A circuit containing an inductance L or capacitor C and resistor R with current and voltage variable given by boundary value problem. Then we use the cubic B-spline functions on graded mesh to solve second order linear boundary value problems. This method gives the second ordered convergent. Numerical results (charge q) for different cases of L are presented and compared with exact solutions in the table form.