Publications
Article · Lobachevskii Journal of Mathematics · March 1, 2021
On One Algorithm To Find a Solution to a Linear Two-Point Boundary Value Problem
Svetlana Temesheva, Dulat S. Dzhumabaev, Symbat Seisenbekovna Kabdrakhova
Abstract
A two-parameter family of algorithms for finding an approximate solution to a linear two-point boundary value problem for a system of ordinary differential equations is offered. The convergence conditions for the algorithms are obtained. The necessary and sufficient coefficient conditions for the well-posedness of considered problem are established.
Differential Equations and Boundary ProblemsNumerical methods for differential equationsNonlinear Differential Equations Analysistwo-point boundary value problemslinear ordinary differential equationsapproximate solutions
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