Journals / Turkish Journal of Science and Technology / 2023 / Cilt: 18 Sayı: 2
Some Approaches for Solving Multiplicative Second-Order Linear Differential Equations with Variable Exponentials and Multiplicative Airy’s Equation
- Pages
- 301–309
- DOI
- —
Abstract
This paper offers several approaches for solving multiplicative second-order linear differential equations with variable exponentials, such as normalization and reduction to Riccati equations. In addition, in this paper, the multiplicative version of the Airy equation, which emerges in fluid mechanics, geophysics, and atomic physics, is solved using the multiplicative power series solution method.
Özet
Bu makale, normalleşme ve Riccati denklemlerine indirgenme gibi ikinci mertebeden değişken katsayılı çarpımsal lineer diferansiyel denklemleri çözmek için çeşitli yaklaşımlar sunmaktadır. Ayrıca bu makalede akışkan mekaniği, jeofizik ve atom fiziğinde ortaya çıkan Airy denkleminin çarpımsal versiyonu çarpımsal kuvvet serisi çözüm yöntemi kullanılarak çözülmüştür.