Abstract
We describe a new approach to the numerical solution of partial differential equations of evolution-type. The basic idea is to treat the various space derivatives as independent unknowns and to obtain evolution equations for these. The method is applied to four prototype problems with reasonable results. The specially attractive feature of this approach is that the matrix of the problem is a universal constant matrix so that, together with its inverse, it can be read in as data of any computation using the method.
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References
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MITCHELL, A.R., "Computational methods in partial differential equations". p. 202, Wiley, 1969.
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© 1971 Springer-Verlag
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Taylor, J.C., Taylor, J.V. (1971). Parode: A new representational method for the numerical solution of partial differential equations. In: Morris, J.L. (eds) Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069469
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DOI: https://doi.org/10.1007/BFb0069469
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