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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 57, 2010 - Issue 4
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Original Articles

A New Accurate Finite-Difference Scheme for the Thermal Analysis of One-Dimensional Microspheres Exposed to Ultrashort-Pulsed Lasers

Weizhong Dai Department of Mathematics & Statistics, College of Engineering & Science, Louisiana Tech University, Ruston, Louisiana, USACorrespondence[email protected]
&
Connor Johnson Department of Mathematics & Statistics, College of Engineering & Science, Louisiana Tech University, Ruston, Louisiana, USA
Pages 241-259 | Received 05 Dec 2009, Accepted 16 Apr 2010, Published online: 21 Jun 2010

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Xiaoliang Zhu & Hongxing Rui. (2019) High-order compact difference scheme of 1D nonlinear degenerate convection–reaction–diffusion equation with adaptive algorithm. Numerical Heat Transfer, Part B: Fundamentals 75:1, pages 43-66.
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Tien-Mo Shih, Yingbin Zheng, Martinus Arie & Jin-Cheng Zheng. (2013) Literature Survey of Numerical Heat Transfer (2010–2011). Numerical Heat Transfer, Part A: Applications 64:6, pages 435-525.
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Articles from other publishers (10)

Shujun Shen, Weizhong Dai, Qingxia Liu & Pinghui Zhuang. (2023) Accurate numerical scheme for solving fractional diffusion-wave two-step model for nanoscale heat conduction. Journal of Computational and Applied Mathematics 419, pages 114721.
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Aniruddha Bora, Weizhong Dai, Joshua P. Wilson, Jacob C. Boyt & Sergey L. Sobolev. (2022) Neural network method for solving nonlocal two-temperature nanoscale heat conduction in gold films exposed to ultrashort-pulsed lasers. International Journal of Heat and Mass Transfer 190, pages 122791.
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Aniruddha Bora, Weizhong Dai, Joshua P. Wilson & Jacob C. Boyt. (2021) Neural network method for solving parabolic two-temperature microscale heat conduction in double-layered thin films exposed to ultrashort-pulsed lasers. International Journal of Heat and Mass Transfer 178, pages 121616.
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Shujun Shen, Weizhong Dai & Jinfa Cheng. (2020) Fractional parabolic two-step model and its accurate numerical scheme for nanoscale heat conduction. Journal of Computational and Applied Mathematics 375, pages 112812.
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Jaideep Dutta, Ranjib Biswas & Balaram Kundu. (2020) Analytical solution of dual-phase-lag based heat transfer model in ultrashort pulse laser heating of A6061 and Cu3Zn2 nano film. Optics & Laser Technology 128, pages 106207.
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Shuying Zhai, Langyang Huang, Zhifeng Weng & Weizhong Dai. (2020) Parabolic two-step model and accurate numerical scheme for nanoscale heat conduction induced by ultrashort-pulsed laser heating. Journal of Computational and Applied Mathematics 369, pages 112591.
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Asma Yosaf, Shafiq Ur Rehman, Fayyaz Ahmad, Malik Zaka Ullah & Ali Saleh Alshomrani. (2016) Eighth-Order Compact Finite Difference Scheme for 1D Heat Conduction Equation. Advances in Numerical Analysis 2016, pages 1-12.
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Fei Han & Weizhong Dai. (2013) New higher-order compact finite difference schemes for 1D heat conduction equations. Applied Mathematical Modelling 37:16-17, pages 7940-7952.
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J.P. Abraham, J.M. Gorman, E.M. Sparrow, J.R. Stark & R.E. Kohler. (2013) A mass transfer model of temporal drug deposition in artery walls. International Journal of Heat and Mass Transfer 58:1-2, pages 632-638.
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Weizhong Dai & Da Yu Tzou. (2012) An Accurate and Stable Numerical Method for Solving a Micro Heat Transfer Model in a One-Dimensional N-Carrier System in Spherical Coordinates. Journal of Heat Transfer 134:5.
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