Tickhonov based well-condition asymptotic waveform evaluation for dual-phase-lag heat conduction

Abstract

The Tickhonov based well-condition asymptotic waveform evaluation is presented here to study the non-Fourier heat conduction problems with various boundary conditions. In this paper, a novel Tickhonov based well-condition asymptotic waveform evaluation method is proposed to overwhelm ill-conditioning of the asymptotic waveform evaluation technique for thermal analysis and also presented for time-reliant problems. The Tickhonov based well-condition asymptotic waveform evaluation method is capable to evade the instability of asymptotic waveform evaluation and also efficaciously approximates the initial high frequency and delay similar as well-established numerical method, such as Runge-Kutta. Furthermore, Tickhonov based well-condition asymptotic waveform evaluation method is found 1.2 times faster than the asymptotic waveform evaluation and also 4 times faster than the traditional Runge-Kutta method.