By Man, and Cybernetics (1998 : San Diego, Calif.) IEEE International Conference on Systems
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Extra resources for 1998 IEEE International Conference on Systems, Man, and Cybernetics (1998: San Diego, Calif.)
For these boundary subdivisions, (22) by symmetry, whence, from Equation (7), M(2)M(2a) =1 ( 23) and K( 2 ) and K( 2 a) bound K (from above and below respectively). Improved results for Methods 2 and 2a may be obtained by noting that the corresponding boundary value problems have analytic solutions c = y and 0 = 1 - x respectively, relative to the coordinate axes shown in Figure 1. Thus both 0 and c' are constants on AB and CD in Method 2 and on BC and DA in Method 2a. The results marked * in Table 1 correspond to subdivisions which reflect this behaviour by treating these sides of the square as single intervals and dividing the other two sides into equal intervals.
J. J. (1970) AAIAJ. ~. ll. Smirnov, (1964) A course of higher mathematics Vol. IV, Pergamon Press, Oxford. C. A. W. Lewis & K. Morgan) Pineridge Press Swansea, 58. M. N. N. M. N. N. M. 4750 0. 4747 0. N. M. M. M. N. 2993 0. 0293 0. 0295 0. 34556 0. L. Neratoom, The Hague, Netherlands ABSTRACT The Boundary Element Method is applied to both steady and unsteady potential flow of a compressible liquid inside a fixed volume. For steady flow the velocity potential satisfies the Laplace or Poisson equation.
01) was used to minimise space discretization errors. Problem 3 - initial condition non-linear The boundary condition in his problem is defined as u(O,t) u(l,t) =0 subject to the initial condition u(x,O) x(l-x) 0 ~ X ~ 1 This problem was solved using both analytic and numerical evaluations of uo(x,t) and a relevant set of results are displayed in Table 3. Problem 4 - sinusoidal initial condition The boundary conditions hereare as specified above but the initial condition becomes u(x,O) = sinrrx 0 ~ x ~ 1 This problem was solved using numerical evaluations only for u 0 (x,t); a set of relevant results are shown in Table 4.
1998 IEEE International Conference on Systems, Man, and Cybernetics (1998: San Diego, Calif.) by Man, and Cybernetics (1998 : San Diego, Calif.) IEEE International Conference on Systems