ODE solvers and the method of lines

1 November 1994

journal article
research article
Published by Wiley in Numerical Methods for Partial Differential Equations

Vol. 10 (6) , 739-755
https://doi.org/10.1002/num.1690100608

Abstract

Factors influencing the choice of ODE solver for the numerical solution of PDEs by the method of lines are investigated. The advection—diffusion equation is used to gain insight that is generalized to some classes of nonlinear PDEs. Numerical results for several nonlinear PDEs illustrate the theoretical developments. © 1994 John Wiley & Sons, Inc.

Keywords

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