Works matching AU Dai, Weizhong

Results: 57

Recent Advances and New Challenges in Coupled Systems and Networks: Theory, Modelling, and Applications (Special Issue in Honor of Professor Roderick Melnik).

Published in:

Mathematical & Computational Applications, 2025, v. 30, n. 3, p. 51, doi. 10.3390/mca30030051

By:

Singh, Sundeep;
Dai, Weizhong

Publication type:

Article

A new 3D mass diffusion-reaction model in the neuromuscular junction.

Published in:

Journal of Computational Neuroscience, 2011, v. 30, n. 3, p. 729, doi. 10.1007/s10827-010-0289-5

By:

Khaliq, Abdul;
Jenkins, Frank;
DeCoster, Mark;
Dai, Weizhong

Publication type:

Article

A Numerical Method for Studying Thermal Deformation in 3-D Double-Layered Thin Films with Imperfect Interfacial Thermal Contact Exposed to Ultrashort-Pulsed Lasers.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2013, v. 63, n. 9, p. 643, doi. 10.1080/10407782.2013.751758

By:

Liu, Runzhou;
Han, Fei;
Dai, Weizhong

Publication type:

Article

Heatline Analysis on Heat Transfer and Convective Flow of Nanofluids in an Inclined Enclosure.

Published in:

Heat Transfer Engineering, 2018, v. 39, n. 10, p. 843, doi. 10.1080/01457632.2017.1338857

By:

Wang, Xiaofeng;
Dai, Weizhong

Publication type:

Article

A FRACTIONAL-ORDER ALTERNATIVE FOR PHASE-LAGGING EQUATION.

Published in:

International Journal of Numerical Analysis & Modeling, 2023, v. 20, n. 3, p. 391, doi. 10.4208/ijnam2023-1016

By:

CUI-CUI JI;
WEIZHONG DAI;
MICKENS, RONALD E.

Publication type:

Article

Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation.

Published in:

Numerical Mathematics: Theory, Methods & Applications, 2023, v. 16, n. 2, p. 511, doi. 10.4208/nmtma.OA-2022-0050

By:

Cui-Cui Ji;
Weizhong Dai

Publication type:

Article

Arbitrarily high‐order accurate and energy‐stable schemes for solving the conservative Allen–Cahn equation.

Published in:

Numerical Methods for Partial Differential Equations, 2023, v. 39, n. 1, p. 187, doi. 10.1002/num.22867

By:

Guo, Feng;
Dai, Weizhong

Publication type:

Article

Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations.

Published in:

Numerical Methods for Partial Differential Equations, 2022, v. 38, n. 4, p. 1112, doi. 10.1002/num.22836

By:

He, Yuyu;
Wang, Xiaofeng;
Dai, Weizhong

Publication type:

Article

Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation.

Published in:

Applicable Analysis, 2021, v. 100, n. 12, p. 2564, doi. 10.1080/00036811.2019.1692136

By:

Wang, Xiaofeng;
Dai, Weizhong;
Yan, Yun

Publication type:

Article

Vascular Countercurrent Network for 3-D Triple-Layered Skin Structure with Radiation Heating.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2010, v. 57, n. 6, p. 369, doi. 10.1080/10407781003659599

By:

Zeng, Xiaoqi;
Dai, Weizhong;
Bejan, Adrian

Publication type:

Article

A Hyperbolic Two-Step Model-Based Finite-Difference Method for Studying Thermal Deformation in a 3-D Thin Film Exposed to Ultrashort Pulsed Lasers.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2008, v. 53, n. 12, p. 1294, doi. 10.1080/10407780801960118

By:

Niu, Tianchan;
Dai, Weizhong

Publication type:

Article

A Finite-Difference Method for Studying Thermal Deformation in a 3-D Microsphere Exposed to Ultrashort Pulsed Lasers.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2008, v. 53, n. 5, p. 457, doi. 10.1080/10407780701632742

By:

Du, Xudong;
Dai, Weizhong;
Wang, Pan

Publication type:

Article

Optimal Temperature Distribution in a Three-Dimensional Triple-Layered Skin Structure Embedded with Artery and Vein Vasculature.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2006, v. 50, n. 9, p. 809, doi. 10.1080/10407780600669175

By:

Tang, Xingui;
Dai, Weizhong;
Nassar, Raja;
Bejan, Adrian

Publication type:

Article

A Combined Analytic and Numerical Method for Predicting Solid Layer Growth in a Static Melt Crystallizer.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2006, v. 49, n. 9, p. 831, doi. 10.1080/10407780500483594

By:

Feng, Zongwen;
Dai, Weizhong;
Nassar, Raja;
Palmer, James

Publication type:

Article

A Numerical Method for Obtaining an Optimal Temperature Distribution in a 3-D Triple-Layered Cylindrical Skin Structure Embedded with a Blood Vessel.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2006, v. 49, n. 8, p. 765, doi. 10.1080/10407780500506691

By:

Zhang, Le;
Dai, Weizhong;
Nassar, Raja

Publication type:

Article

A Numerical Method for Optimizing Laser Power in the Irradiation of a 3-D Triple-Layered Cylindrical Skin Structure.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2005, v. 48, n. 1, p. 21, doi. 10.1080/10407780590929865

By:

Zhang, Le;
Dai, Weizhong;
Nassar, Raja

Publication type:

Article

A COMBINED ANALYTIC AND NUMERICAL METHOD FOR PREDICTING THE SOLID-LAYER GROWTH FROM MELT CRYSTALLIZATION.

Published in:

Numerical Heat Transfer: Part A -- Applications, 2003, v. 44, n. 6, p. 577, doi. 10.1080/716100511

By:

Dai, Weizhong;
Feng, Zongwen;
Nassar, Raja;
Palmer, James

Publication type:

Article

A new conservative finite difference scheme for the generalized Rosenau–KdV–RLW equation.

Published in:

Computational & Applied Mathematics, 2020, v. 39, n. 3, p. 1, doi. 10.1007/s40314-020-01280-x

By:

Wang, Xiaofeng;
Dai, Weizhong

Publication type:

Article

A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation.

Published in:

Computational & Applied Mathematics, 2018, v. 37, n. 5, p. 6560, doi. 10.1007/s40314-018-0685-4

By:

Wang, Xiaofeng;
Dai, Weizhong

Publication type:

Article

Sub-Diffusion Two-Temperature Model and Accurate Numerical Scheme for Heat Conduction Induced by Ultrashort-Pulsed Laser Heating.

Published in:

Fractal & Fractional, 2023, v. 7, n. 4, p. 319, doi. 10.3390/fractalfract7040319

By:

Ji, Cuicui;
Dai, Weizhong

Publication type:

Article

A fast and enhanced shallow learning framework for solving free boundary options pricing problems.

Published in:

Neural Computing & Applications, 2024, v. 36, n. 20, p. 12327, doi. 10.1007/s00521-024-09740-9

By:

Nwankwo, Chinonso;
Ware, Tony;
Dai, Weizhong

Publication type:

Article

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

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2010, v. 57, n. 4, p. 241, doi. 10.1080/10407790.2010.489878

By:

Weizhong Dai;
Johnson, Connor

Publication type:

Article

A Hyperbolic Two-Step Model Finite-Difference Method for Studying Thermal Deformation in a 3-D Microsphere Exposed to Ultrashort-Pulsed Lasers.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2008, v. 54, n. 5, p. 408, doi. 10.1080/10407790802424147

By:

Pan Wang;
Weizhong Dai

Publication type:

Article

A Hybrid FE-FD Scheme for Solving Parabolic Two-Step Micro Heat Transport Equations in an Irregularly Shaped Three-Dimensional Double-Layered Thin Film.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2006, v. 49, n. 5, p. 437, doi. 10.1080/10407790500511096

By:

Barron, Brian R.;
Weizhong Dai

Publication type:

Article

A FOURTH-ORDER COMPACT FINITE-DIFFERENCE SCHEME FOR SOLVING A 1-D PENNES' BIOHEAT TRANSFER EQUATION IN A TRIPLE-LAYERED SKIN STRUCTURE.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2004, v. 46, n. 5, p. 447, doi. 10.1080/104077990503014

By:

Dai, Weizhong;
Yu, Haofeng;
Nassar, Raja

Publication type:

Article

A STABLE THREE-LEVEL FINITE-DIFFERENCE SCHEME FOR SOLVING A THREE-DIMENSIONAL DUAL-PHASE- LAGGING HEAT TRANSPORT EQUATION IN SPHERICAL COORDINATES.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2004, v. 46, n. 2, p. 121, doi. 10.1080/10407790490449318

By:

Weizhong Dai;
Lixin Shen;
Teng Zhu

Publication type:

Article

A THREE-LEVEL FINITE-DIFFERENCE SCHEME FOR SOLVING MICRO HEAT TRANSPORT EQUATIONS WITH TEMPERATURE-DEPENDENT THERMAL PROPERTIES.

Published in:

Numerical Heat Transfer: Part B -- Fundamentals, 2003, v. 43, n. 6, p. 509, doi. 10.1080/713836316

By:

Dai, Weizhong;
Nassar, Raja

Publication type:

Article

FRACTIONAL VECTOR TAYLOR AND CAUCHY MEAN VALUE FORMULAS.

Published in:

Journal of Fractional Calculus & Applications, 2020, v. 11, n. 2, p. 130

By:

JINFA CHENG;
WEIZHONG DAI

Publication type:

Article

A Nonstandard Finite Difference Scheme for Solving One Dimensional Nonlinear Heat Transfer.

Published in:

Journal of Difference Equations & Applications, 2004, v. 10, n. 11, p. 1025, doi. 10.1080/10236190412331272625

By:

Weizhong Dai;
Shengjun Su

Publication type:

Article

A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier–Stokes equations of motion.

Published in:

International Journal of Computer Mathematics, 2015, v. 92, n. 8, p. 1574, doi. 10.1080/00207160.2014.949251

By:

Mohanty, R.K.;
Dai, Weizhong;
Han, Fei

Publication type:

Article

An Artificial Neural Network Method for Simulating Soliton Propagation Based on the Rosenau-KdV-RLW Equation on Unbounded Domains.

Published in:

Mathematics (2227-7390), 2025, v. 13, n. 7, p. 1036, doi. 10.3390/math13071036

By:

Finch, Laurence;
Dai, Weizhong;
Bora, Aniruddha

Publication type:

Article

Efficiency of Some Predictor–Corrector Methods with Fourth-Order Compact Scheme for a System of Free Boundary Options.

Published in:

Axioms (2075-1680), 2023, v. 12, n. 8, p. 762, doi. 10.3390/axioms12080762

By:

Nwankwo, Chinonso;
Dai, Weizhong

Publication type:

Article

Local Refinement and Adaptive Strategy for a System of Free Boundary Power Options with High Order Compact Differencing.

Published in:

Axioms (2075-1680), 2023, v. 12, n. 6, p. 602, doi. 10.3390/axioms12060602

By:

Nwankwo, Chinonso;
Dai, Weizhong

Publication type:

Article

Employing graphics processing unit technology, alternating direction implicit method and domain decomposition to speed up the numerical diffusion solver for the biomedical engineering research.

Published in:

International Journal for Numerical Methods in Biomedical Engineering, 2011, v. 27, n. 11, p. 1829, doi. 10.1002/cnm.1444

By:

Jiang, Beini;
Struthers, Allan;
Sun, Zhe;
Feng, Zhuo;
Zhao, Xuqian;
Zhao, Kaiyong;
Dai, Weizhong;
Zhou, Xiaobo;
Berens, Michael E.;
Zhang, Le

Publication type:

Article

A Conservative and Compact Finite Difference Scheme for the Sixth-Order Boussinesq Equation with Surface Tension.

Published in:

Mathematical & Computational Applications, 2024, v. 29, n. 6, p. 112, doi. 10.3390/mca29060112

By:

Wang, Xiaofeng;
Dai, Weizhong;
Biswas, Anjan

Publication type:

Article

A Finite Difference Method for Solving the Wave Equation with Fractional Damping.

Published in:

Mathematical & Computational Applications, 2024, v. 29, n. 1, p. 2, doi. 10.3390/mca29010002

By:

Cui, Manruo;
Ji, Cui-Cui;
Dai, Weizhong

Publication type:

Article

A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film.

Published in:

Numerical Methods for Partial Differential Equations, 2017, v. 33, n. 1, p. 142, doi. 10.1002/num.22078

By:

Sun, Hong;
Sun, Zhi‐zhong;
Dai, Weizhong

Publication type:

Article

A high order accurate numerical method for solving two-dimensional dual-phase-lagging equation with temperature jump boundary condition in nanoheat conduction.

Published in:

Numerical Methods for Partial Differential Equations, 2015, v. 31, n. 6, p. 1742, doi. 10.1002/num.21967

By:

Sun, Hong;
Du, Rui;
Dai, Weizhong;
Sun, Zhi‐zhong

Publication type:

Article

A new higher-order accurate numerical method for solving heat conduction in a double-layered film with the neumann boundary condition.

Published in:

Numerical Methods for Partial Differential Equations, 2014, v. 30, n. 4, p. 1291, doi. 10.1002/num.21870

By:

Sun, Zhi‐Zhong;
Dai, Weizhong

Publication type:

Article

An improved compact finite difference scheme for solving an N-carrier system with Neumann boundary conditions.

Published in:

Numerical Methods for Partial Differential Equations, 2011, v. 27, n. 2, p. 436, doi. 10.1002/num.20531

By:

Dai, Weizhong

Publication type:

Article

A compact local one-dimensional scheme for solving a 3D N-carrier system with Neumann boundary conditions.

Published in:

Numerical Methods for Partial Differential Equations, 2010, v. 26, n. 5, p. 1079, doi. 10.1002/num.20476

By:

Dai, Weizhong

Publication type:

Article

A fourth-order compact finite difference scheme for solving an N-carrier system with Neumann boundary conditions.

Published in:

Numerical Methods for Partial Differential Equations, 2010, v. 26, n. 2, p. 274, doi. 10.1002/num.20427

By:

Dai, Weizhong;
Tzou, Da Yu

Publication type:

Article

Fourth-order compact schemes for solving multidimensional heat problems with Neumann boundary conditions.

Published in:

Numerical Methods for Partial Differential Equations, 2008, v. 24, n. 1, p. 165, doi. 10.1002/num.20255

By:

Zhao, Jennifer;
Dai, Weizhong;
Zhang, Suyang

Publication type:

Article

Fourthâorder compact schemes of a heat conduction problem with Neumann boundary conditionsAMS subject classification: 65M06, 65M12.

Published in:

Numerical Methods for Partial Differential Equations, 2007, v. 23, n. 5, p. 949

By:

Jennifer Zhao;
Weizhong Dai;
Tianchan Niu

Publication type:

Article

A finite difference scheme for solving parabolic two‐step micro‐heat transport equations in a double‐layered micro‐sphere heated by ultrashort‐pulsed lasers.

Published in:

Numerical Methods for Partial Differential Equations, 2006, v. 22, n. 6, p. 1396

By:

Weizhong Dai;
Guang Li

Publication type:

Article

On the stability of the FDTD method for solving a time‐dependent Schrödinger equationAMS subject classification: 65M12, 65Z05.

Published in:

Numerical Methods for Partial Differential Equations, 2005, v. 21, n. 6, p. 1140

By:

Weizhong Dai;
Guang Li;
Raja Nassar;
Shengjun Su

Publication type:

Article

A convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates.

Published in:

Numerical Methods for Partial Differential Equations, 2004, v. 20, n. 1, p. 60

By:

Weizhong Dai;
Lixin Shen;
Raja Nassar

Publication type:

Article

Compact ADI method for solving parabolic differential equations.

Published in:

Numerical Methods for Partial Differential Equations, 2002, v. 18, n. 2, p. 129, doi. 10.1002/num.1037

By:

Dai, Weizhong;
Nassar, Raja

Publication type:

Article

A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film.

Published in:

Numerical Methods for Partial Differential Equations, 2000, v. 16, n. 5, p. 441, doi. 10.1002/1098-2426(200009)16:5<441::AID-NUM3>3.0.CO;2-0

By:

Dai, Weizhong;
Nassar, Raja

Publication type:

Article

A finite difference scheme for solving the heat transport equation at the microscale.

Published in:

Numerical Methods for Partial Differential Equations, 1999, v. 15, n. 6, p. 697, doi. 10.1002/(SICI)1098-2426(199911)15:6<697::AID-NUM6>3.0.CO;2-#

By:

Dai, Weizhong;
Nassar, Raja

Publication type:

Article