Solution for Second-Order Differential Equation Using Least Square Method

Ibrahim, Salisu and Isah, Abdulnasir (2022) Solution for Second-Order Differential Equation Using Least Square Method. Eurasian Journal of Science and Engineering, 8 (1).

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Abstract

This paper studies the numerical method for solving differential equations. The continuous least square method (CLSM) is used to obtain the explicit solution for solving ordinary differential equations (ODEs), partial differential equations (PDEs), and fractional differential equations (FDEs), but in this work, we consider the explicit results from CLSM approach and applied it on second-order ODEs. Moreover, the L_2 norm is used to obtain the minimum approximation error. The numerical results obtained has a good agreement with the exact solution with minimum approximation error. The explicit results are supported by an example that was treated with Matlab and Matematica 11.

Item Type: Article
Uncontrolled Keywords: Differential Equation, Second-order Differential Equation, Continuous Least Square Method, and L_2 norm
Subjects: L Education > L Education (General)
Q Science > QA Mathematics
Divisions: Eurasian Journal of Science and Engineering > VOL 8, NO 1 (2022)
Depositing User: TIU ePrints Admin
Date Deposited: 24 Oct 2022 13:08
Last Modified: 24 Oct 2022 13:08
URI: http://eprints.tiu.edu.iq/id/eprint/1076

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