DECL(ID:6934/dec012)


References:
  • Csendes, Z.J. DECL - A computer language for the solution of arbitrary partial differential equations In Advances in Computer Methods for Partial Differential Equations, R. Vichnevetsky (Ed), Publ. AICA, 1975, pp. 159-166. view details
  • Machura, Marek and Roland A. Sweet "A Survey of Software for Partial Differential Equations" pp461-488 view details Extract: DECL
    DECL
    The DECL program package [11] is unique in that it allows the solution of arbitrary two-dimensional linear PDEs of order less than or equal to 9. Each  linear PDE is automatically transformed to the following canonical form: where f,~ and g are arbitrary functions of x and y. This equation is then discretized by a special technique that uses so-called elementary matrix factors to construct the matrix representation of an arbitrary linear differential operator. This discretization can be performed only in a rectangular region, so irregular two-dimensional regions must be divided into rectangular elements. The DECL language is capable of solving eigenvalue PDEs, as well as producing general and particular solutions.

          in ACM Transactions on Mathematical Software (TOMS) 6(4) December 1980 view details