Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems
Micha{\l} Be{\l}dzi\'nski, Marek Galewski
TL;DR
This paper applies a global diffeomorphism theorem to analyze the solvability of both continuous and discretized Dirichlet boundary value problems, establishing conditions for their solutions.
Contribution
It introduces a novel application of a global diffeomorphism theorem to connect the solvability of continuous and discrete boundary value problems.
Findings
Established conditions for solvability of boundary value problems
Connected continuous and discrete problem solutions via diffeomorphism
Provided theoretical framework for boundary value problem analysis
Abstract
We investigate solvability of a continuous Dirichlet boundary value problem together with its classical discretization using a gobal diffeomorphism theorem.
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