MOVCOL
MOVCOL -- 1D Moving Collocation Method (fortran77). MOVCOL is primarily intended to solve systems of second-order parabolic PDEs in one space dimension. It is also capable of solving hyperbolic PDEs with suitably smooth solutions. MOVCOL uses a method of lines approach based upon a MOVing COLlocation method. The physical PDEs are discretized in space with a cubic Hermite colloction-type method, and the MMPDEs (moving mesh PDEs) for computing the moving mesh points are discretized with a 3-point finite difference method. The resulting ODE system is integrated in time with the DAE solver DASSL developed by L. Petzold. For the detailed description of MOVCOL method, see W. Huang and R. D. Russell, A moving collocation method for solving time dependent partial differential equations, Appl. Numer. Math. 20 (1996), 101-116.
Keywords for this software
References in zbMATH (referenced in 30 articles )
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- Russell, R.D.; Williams, J.F.; Xu, X.: MOVCOL4: A moving mesh code for fourth-order time-dependent partial differential equations (2007)
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