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An evaluation of static and dynamic errors in the solution of a first-order partial differential equation on an analog computer

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  • Wiig, Karl M.

Abstract

In solving partial differential equations on an analog computer through an approximation to differential-difference equations, inaccuracies in the solution will always occur. This error is derived exactly for a linear first-order partial differential equation by the use of three different first-order differences. The error as a function of the type of difference and of the number of increments, which have been used for the solution, has been discussed.

Suggested Citation

  • Wiig, Karl M., 1964. "An evaluation of static and dynamic errors in the solution of a first-order partial differential equation on an analog computer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 6(4), pages 243-248.
    • Handle: RePEc:eee:matcom:v:6:y:1964:i:4:p:243-248
    DOI: 10.1016/S0378-4754(64)80027-6
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    References listed on IDEAS

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    1. Hempel, Arvid B., 1963. "Exact simulation of a special first order partial differential equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 5(4), pages 196-199.
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