A PIECEWISE APPROXIMATE ANALYTICAL SOLUTION FOR NONLINEAR TRANSIENT CIRCUITS USING ADAPTIVE STEP SIZE L-STABLE INTEGRATION SCHEME

DOI10.17654/DE023010047zbMath1486.94189OpenAlexW3082614575MaRDI QIDQ5035366

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Publication date: 21 February 2022

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/de023010047

zbMATH Keywords

stabilitypiecewise Taylor approximationlocally exact integrationnonlinear transient circuits

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Analytic circuit theory (94C05)

Uses Software

• RODAS
• spivp

Cites Work

• Unnamed Item
• Variable step size initial value algorithm for singular perturbation problems using locally exact integration
• Analog simulation of neural information propagation using an electrical FitzHugh--Nagumo lattice
• Piecewise approximate analytical solutions of high-order singular perturbation problems with a discontinuous source term
• Linearization techniques for singularly-perturbed initial-value problems of ordinary differential equations
• Approximate analytical solution of singularly perturbed boundary value problems in Maple
• Analytical approximate solutions for a general nonlinear resistor-nonlinear capacitor circuit model
• An algorithm for solving singular perturbation problems with mechanization
• An Algorithm for Solving Second Order Nonlinear Singular Perturbation Boundary Value Problems
• A New Method for Solving Singularly Perturbed Boundary Value Problems
• A new algorithm appropriate for solving singular and singularly perturbed autonomous initial-value problems

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