Numerical Solution of Second-Order Differential Equation Arise in RLC Circuits via Finite Difference Method and Cubic B-spline Method.
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| Title: | Numerical Solution of Second-Order Differential Equation Arise in RLC Circuits via Finite Difference Method and Cubic B-spline Method. |
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| Authors: | Pandey, Aprajita1 aprajita.pandey.btech2022@sitpune.edu.in, Lodhi, Ram Kishun2 ramkishun.lodhi@sitpune.edu.in |
| Source: | IAENG International Journal of Applied Mathematics. Jul2026, Vol. 56 Issue 7, p2667-2673. 7p. |
| Subjects: | Resistor-inductor-capacitor circuits, Finite difference method, Numerical analysis, Transient analysis, Ordinary differential equations, Iterative methods (Mathematics) |
| Abstract: | This study presents the Finite difference method (FDM) and Cubic B-spline method (CBSM) to acquire numerical treatment of second-order differential equations (SODE) arising in RLC circuits. These approaches have been expanded and implemented to examine the transient analysis of RLC circuits. We have scrutinized the dominance and eminence of these methods over another. The CBSM is discovered to be the best numerical approach as compared with FDM due to the reliability and high accuracy of approximations. Moreover, we study the convergence of proposed methods and found them to be second order. FDM and CBSM have implemented on two cases of SODE arise in RLC circuit to verify the theoretical results. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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