WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 18, 2023
An Approximation Solution of Linear Differential Equation using Kantorovich Methods
Authors: ,
Abstract: In our work, we constructed a numerical approximations method to deal with approximations of a linear differential equation. We explained the general framework of the projection method which helps to clarify the basic ideas of the Kantorovich methods. We applied the iterative projection methods and presented a theorem to show the convergence of the constructed solutions to the exact solution. Also, most of the expressions encountered earlier can be used to define functions. Here are some illustrations. A great deal of information can be learned about a functioning relationship by studying its graph. A fundamental objective of section 4, is to acquaint with the graphs of some important functions and develop basic graphing procedures.
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Keywords: Differential Equation, Kantorovich methods, Graphing lines in the rectangular coordinate system
Pages: 9-15
DOI: 10.37394/232011.2023.18.2