— 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 their method 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 this paper, we describe our BSCM library, and subsequently discuss its application 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.
— Basis spline, boundary value, C++, heat equation, lattice.
J. A. Solheim is with Fort Hays State University, Hays, KS 67601 USA (e-mail: JASolheim@ FHSU.edu).
Cite: Jeffery A. Solheim, " BSCM: A C++ Library for the Lattice Solution of Boundary Value Problems," International Journal of Information and Electronics Engineering vol. 4, no. 4, pp. 298-301, 2014.