The algorithm is incorporated in a finite element method-of-lines code and tested on a set of reaction diffusion systems.
Multidimensional transport schemes avoid splitting errors on distorted, arbitrary meshes, and method-of-lines schemes have a low computational cost because they perform reconstructions at fixed points.
All tests have been carried out using the BDF time integrator SPGEAR of the existing method-of-lines software package SPRINT.
We present a method-of-lines solution procedure for modelling charge transport and recombination in organic light-emitting diodes operating in the trap-free space-charge-limited regime.
This chapter presents the symbolic preprocessing tool symbolic preprocessing tool (SYPPRoT) of the simulation environment DIVA to apply the Method-of-Lines (MOL) approach to transform partial differential equations (PDEs) into differential algebraic equations (DAEs).
We use the characteristic decomposition and the method-of-lines approach to construct high-order versions of the first-order scheme and demonstrate their efficiency and robustness in several numerical tests.
A variety of numerical calculations, especially when considering wave propagation, are based on the method-of-lines, where time-dependent partial differential equations (PDEs) are first discretized in space.
Then, the model was solved by used mathematical methods of line source function, Pedrosa's substitution, and Newton-Raphson algorithm.
The graphical methods of line and spider graph methods are easy to calculate, visualize, and provide a simplistic approach for comparison, ranking of alternatives.
For determining optimal maintenance strategy fuzzy AHP, fuzzy Topsis and graphical methods of line graph and spider graph have been used by the author.
