A low computational cost numerical method for solving mixed diffusion problems

Abstract

This paper deals with the construction of discrete numerical solutions of mixed problems for the telegraph equation. After discretization, the two-variables partial difference mixed problem is solved by means of a discrete eigenfunctions method that mimics the advantages of the continuous eigenfunction method while eliminating its computational disadvantages. The solution is based on a closed form solution of the inhomogeneous second order difference equation without increasing the problem’s dimension.

Publication
Elsevier, Applied Mathematics and Computation
Luz Angélica Caudillo Mata
Luz Angélica Caudillo Mata
Computational Scientist & Community Builder

Passionate about driving innovation and developing cutting-edge technology at the intersection of GeoAI and computational geosciences, while fostering collaborative communities.