Purpose

The purpose of this paper is to investigate the circuit analysis differential equations, which play an important role in the field of electrical and electronic engineering, and it was necessary to propose a very simple and direct method to obtain approximate solutions for the linear or non-linear differential equations, which should be simple for engineers to understand.

Design/methodology/approach

This paper introduces a simple novel Maclaurin series method (MSM) to propose an approximate novel solution in the area of circuit analysis for linear and non-linear differential equations. These equations describe the alternating current circuit of the resistor–capacitor, which evaluates the effect of non-linear current resistance. Linear and non-linear differential equations are evaluated as a computational analysis to assist the research, which reveals that the MSM is incredibly simple and effective.

Findings

Simulation findings indicate that the achieved proposed solution using the novel suggested approach is identical to the exact solutions mentioned in the literature. As the Maclaurin series is available to all non-mathematicians, this paper reflects mostly on theoretical implementations of the numerous circuit problems that occur in the field of electrical engineering.

Originality/value

A very simple and efficient method has been proposed in this paper, which is very easy to understand for even non-mathematicians such as engineers. The paper introduced a method of the Maclaurin series to solve non-linear differential equations resulting from the study of the circuits. The MSM mentioned here will be a useful tool in areas of physical and engineering anywhere the problem of the circuits is studied.

中文翻译：

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简单使用麦克劳林级数法处理电路分析中出现的线性和非线性微分方程

目的

本文的目的是研究在电气和电子工程领域发挥重要作用的电路分析微分方程，有必要提出一种非常简单直接的方法来获得线性或非线性的近似解。线性微分方程，工程师应该很容易理解。

设计/方法/方法

本文介绍了一种简单新颖的麦克劳林级数方法 (MSM)，以在线性和非线性微分方程的电路分析领域提出一种近似新颖的解决方案。这些方程描述了电阻-电容的交流电路，用于评估非线性电流电阻的影响。线性和非线性微分方程被评估为辅助研究的计算分析，这表明 MSM 非常简单和有效。

发现

模拟结果表明，使用新颖的建议方法获得的建议解决方案与文献中提到的确切解决方案相同。由于 Maclaurin 级数适用于所有非数学家，本文主要反映了电气工程领域中出现的众多电路问题的理论实现。

原创性/价值

本文提出了一种非常简单有效的方法，即使是工程师等非数学家也非常容易理解。论文介绍了一种求解非线性微分方程的麦克劳林级数方法，该方法是通过研究电路得出的。此处提到的 MSM 将是物理和工程领域中研究电路问题的有用工具。