D-iteration: application to differential equations

2012/04/06 by Dohy Hong, Hong, Dohy
Computer Science · Engineering · Mathematics · #FOS: Mathematics #G.1.3 #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations #Soil and Unsaturated Flow

paper · pdf · doi:10.48550/arxiv.1204.1423

openalex publication_date 2012/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study how the D-iteration algorithm can be applied to numerically solve the differential equations such as heat equation in 2D or 3D. The method can be applied on the class of problems that can be addressed by the Gauss-Seidel iteration, based on the linear approximation of the differential equations.

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