Incomplete (even and odd) trigonometric splines in the problems of constructing approximate solutions of second order linear differential equations
Volodymyr Denysiuk, Ludmila Rybachuk
TL;DR
This paper introduces a method using incomplete (even and odd) trigonometric splines to construct approximate solutions for second order linear differential equations, supported by theoretical analysis and numerical examples.
Contribution
It presents a novel approach employing incomplete trigonometric splines for solving boundary value problems of differential equations.
Findings
Effective approximation of solutions demonstrated through numerical examples.
Theoretical justification of the spline method provided.
Potential improvements over existing methods suggested.
Abstract
The method of constructing approximate solutions of the first boundary value problem for linear differential equations based on incomplete (even and odd) trigonometric splines is considered. The theoretical positions are illustrated by numerical examples.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Differential Equations and Numerical Methods · Advanced Computational Techniques in Science and Engineering