Recurrence Relation When Solving 2nd Order Homogeneous Linear ODEs by Frobenius Method

Journal of Applied & Computational Mathematics

article

Saad F. Shaikh¹ 

[1] Department of Management, Nirma University

关键词: ODE;    Recurrence relation;    Singular point;    Power series;    Homogeneous;    Frobenius method;   

DOI  :  10.37421/2168-9679.2022.11.488

来源: Hilaris Publisher

【 摘 要 】

The Frobenius method, also known as the Extended Power Series method comes into play when solving second-order homogeneous linearODEs having variable coefficients, about a singular point. The solution is expressed in terms of infinite power series. This straightforward article ismerely aimed to lucidly arrive at the recurrence relation/formula by taking proper heed of summation limits and simply manipulating them, which isprobably absent in almost all research articles and books. The methodology discussed is followed by a few conspicuous and relevant observations.

【 授权许可】

Unknown