Tickhonov based well-condition asymptotic waveform evaluation for dual-phase-lag heat conduction
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The Tickhonov based well condition asymptotic waveform evaluation (TWCAWE) is presented here to study the non-Fourier heat conduction problems with various boundary conditions. In this paper, a novel TWCAWE method is proposed to overwhelm ill-conditioning of the asymptotic waveform evaluation (AWE) technique for thermal analysis and also presented for time-reliant problems. The TWCAWE method is capable to evade the instability of AWE and also efficaciously approximates the initial high frequency and delay similar as well-established numerical method, such as Runge-Kutta (R-K). Furthermore, TWCAWE method is found 1.2 times faster than the AWE and also 4 times faster than the traditional R-K method.
2016 ◽
Vol 6
(3)
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pp. 75-80
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2022 ◽
Vol 132
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pp. 105881
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2008 ◽
Vol 51
(7-8)
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pp. 1713-1727
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2019 ◽
Vol 29
(3)
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pp. 632-646
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