D-iteration: application to differential equations
arXiv:1204.14232 citationsh-index: 16
Originality Synthesis-oriented
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For researchers in numerical methods, this is an incremental application of an existing algorithm to a known class of problems.
The paper applies the D-iteration algorithm to numerically solve differential equations like the 2D/3D heat equation, showing it can handle problems solvable by Gauss-Seidel iteration with linear approximation.
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.