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which is same as obtained by DTM and RDTM  and HPTM  and is a closed form of the exact solution u(x, t) = x exp(t).
Thus, the proposed results agreed well with solutions obtained by HPM  and HPTM .
The proposed solutions agreed excellently with HPM , HPTM , and DTM .
The HPTM provides the solutions in terms of convergent series with easily computable components in a direct way without using linearization, perturbation, or restrictive assumptions.
To demonstrate the effectiveness of the HPTM algorithm discussed above [19-28], several examples of variational problems will be studied in this section.
PCR products (45-50 [micro]L) were added to a mix consisting of 3 [micro]L Streptavidin Sepharose HPTM (Amersham Biosciences) and 37 [micro]L binding buffer (Biotage) and mixed at 1200 rpm for 5 min at room temperature.
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- HPT-1 cadherin