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It is worth noting here that the obtained numerical solution in this example is very accurate, although the number of basis functions in the expansion of the obtained result is very low.
Even though there is not a clear winner solution in this example, we believe that the original matrix and the reordered matrix produced by PQR sort revealed more useful information than the other two matrices.
Similar(58)
Since the objective function has no zero-solution in this example, the calculation runs until it reaches the maximum allowable iteration number.
The computed numerical solutions for this example are presented in Figure 2(a - f) for different va - foforhe parameters.
Table 2 illustrates the results for this example by the proposed method alongside numerical solutions for this example that were given in Refs. [27] and [29].
The graph of the approximate solution u n ( z ) is illustrated in Figure 5. Figure 3 The error norm ( 54 ) for Example 1. Figure 4 The absolute error for Example 1. Figure 5 The graph of the approximate solution for Example 1. Example 2 In this example, we consider an unbounded multiply connected region of connectivity 6 (see Figure 6).
In this example, the exact solution is taken from (38).
In this example, the exact solution is not known.
It just gave us a warning: 'This DAE appears to be of index greater than 1'. Figure 3 Sparsity of matrix pencil ( E, A ). Figure 4 Sparsity of matrix pencil ( E ˜, A ˜ ). Figure 5 Output solutions of Example 4. Example 5 In this example, we consider a RLC network descriptor model of electric power grid originating from [11].
From Table 1 and Table 2, we see that 0 is the solution in Example 1.1.
Figure 5 q -approximate solution in Example 4.3 with (pmb{L=1}) and (pmb{eta=0}).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com