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Boundary Value Problems via Finite Difference Approximations | Boundary Value Problems via Finite Difference Approximations – L&C Collaborative Research

Boundary Value Problems via Finite Difference Approximations

Can one prove existence and uniqueness of solutions to boundary value problems using elementary methods?

Project Abstract


The standard approach to proving existence and uniqueness of solutions to boundary value problems requires graduate level theory from functional analysis.
We present an elementary proof of existence and uniqueness of solutions to a simple class of Boundary Value Problems  using only tools from linear algebra and introductory analysis courses.

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