NAG Library Routine Document d03pef (dim1_parab_keller): d03pef integrates a system of linear or nonlinear, first-order, time-dependent partial differential equations (PDEs) in one space variable. The spatial discretization is performed using the Keller box scheme and the method of lines is employed to reduce the PDEs to a system of ordinary differential equations (ODEs). The resulting system is solved using a Backward Differentiation Formula (BDF) method.

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  1. Baker, R. E.; Maini, P. K.: A mechanism for morphogen-controlled domain growth (2007)