Numerical Analysis Using Rk - 4 in Transient Analysis of RLC Circuit

Malarvizhi, M.; Karunanithi, S.; Gajalakshmi, N.

doi:10.37418/amsj.9.8.79

Cited by 3 publications

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“…In [30], Malarvizhi et al discussed the transient analysis of an RLC circuit in the RK4 order method. In [24], Gomez-Aguilar et al studied the electrical circuits RC and RL for the Atangana-Beleanu-Caputo (ABC) fractional bi-order system:…”

Section: Introductionmentioning

confidence: 99%

Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method

S.,

V.,

Abbas

2023

Fractal Fract

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This paper delves into an examination of the existence, uniqueness, and stability properties of a non-local integro-differential equation featuring the Hilfer fractional derivative with order ω∈(1,2) for the RLC model. Based on Schaefer’s fixed point theorem and Banach’s contraction principle, the existence and uniqueness results are established. Furthermore, Ulam–Hyers and Ulam–Hyers–Rassias stability results for the boundary value problem of the RLC model are discussed. To showcase the practicality and efficacy of our theoretical findings, a two-step Lagrange polynomial interpolation method is applied to solve some numerical examples.

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Section: Introductionmentioning

confidence: 99%

Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method

S.,

V.,

Abbas

2023

Fractal Fract

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Implementation of Runge Kutta method of order 4 in RLC circuits

Malarvizhi¹,

Karunanithi²

2023

AIP Conference Proceedings

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Existence and analysis of Hilfer-Hadamard fractional differential equations in RLC circuit models

Manigandan,

Meganathan,

Shanthi

et al. 2024

MATH

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<p>This paper explores a fractional integro-differential equation with boundary conditions that incorporate the Hilfer-Hadamard fractional derivative. We model the RLC circuit using fractional calculus and define weighted spaces of continuous functions. The existence and uniqueness of solutions are established, along with their Ulam-Hyers and Ulam-Hyers-Rassias stability. Our analysis employs Schaefer's fixed-point theorem and Banach's contraction principle. An illustrative example is presented to validate our findings.</p>

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Numerical Analysis Using Rk - 4 in Transient Analysis of RLC Circuit

Cited by 3 publications

References 0 publications

Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method

Qualitative Analysis of RLC Circuit Described by Hilfer Derivative with Numerical Treatment Using the Lagrange Polynomial Method

Implementation of Runge Kutta method of order 4 in RLC circuits

Existence and analysis of Hilfer-Hadamard fractional differential equations in RLC circuit models

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