BSCM: A C++ Library for the Lattice Solution of Boundary Value Problems
Keywords:
Basis spline, boundary value, C++, heat equation, lattice.Abstract
In their paper that appeared in the Journal of
Computational Physics, Umar, Wu, Strayer, and Bottcher
described the Basis-Spline Collocation Method, a technique
which they developed for the lattice solution of boundary value
problems. Umar et al.demonstrate how theirmethod can be
applied a variety of problems in Physics, such as calculating
bound states of the radial Schrödinger equation, and solving the
Poisson equation.
Based on the paper of Umar et al., we have developed BSCM,
a C++library intended to facilitate utilization of the basis-spline
collocation method for the lattice solution of boundary
problems. In thispaper, we describe ourBSCM library, and
subsequently discuss itsapplication to find an iterative solution
to the heat equation. Finally, we describe a visualization tool
that we have developed that utilizes our BSCM library. We
believe that our library can be a useful tool for researchers in
Physics, Mathematics, and other disciplines.
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