Divergence bounded computable real numbers. - Xizhong Zheng; Dianchen Lu; Kejin Bao (Theor. Comput. Sci., 2006)

Optimal harvesting problems for an age-dependent n-dimensional food chain model with diffusion. - Dianchen Lu; Jianjun Gu 002; Xiaoming Wang (Appl. Math. Comput., 2007)

New explicit exact solutions for the generalized coupled Hirota-Satsuma KdV system. - Dianchen Lu; Baojian Hong; Lixin Tian (Comput. Math. Appl., 2007)

Computing the Solution of the m-Korteweg-de Vries Equation on Turing Machines. - Dianchen Lu; Qingyan Wang (CCA, 2007)

New exact solutions for the (2+1)-dimensional generalized Broer-Kaup system. - Dianchen Lu; Baojian Hong (Appl. Math. Comput., 2008)

A sub-ODE method for generalized Gardner and BBM equation with nonlinear terms of any order. - Dianchen Lu; CuiLian Liu (Appl. Math. Comput., 2010)

Computing the Solutions of the Combined Korteweg-de Vries Equation by Turing Machines - Dianchen Lu; Qingyan Wang; Rui Zheng (CCA, 2010)

Adaptive Projective Synchronization of Complex Networks with Weighted Topology. - Dianchen Lu; Qiaoxia Qi (ICAIC (3), 2011)

New exact solutions for the generalized variable-coefficient Gardner equation with forcing term. - Baojian Hong; Dianchen Lu (Appl. Math. Comput., 2012)

New Jacobi elliptic function-like solutions for the general KdV equation with variable coefficients. - Baojian Hong; Dianchen Lu (Math. Comput. Model., 2012)

New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations. - Baojian Hong; Dianchen Lu (J. Appl. Math., 2013)

(N+1)-dimensional fractional reduced differential transform method for fractional order partial differential equations. - Muhammad Arshad 004; Dianchen Lu; Jun Wang 093 (Commun. Nonlinear Sci. Numer. Simul., 2017)

Transpiration and Viscous Dissipation Effects on Entropy Generation in Hybrid Nanofluid Flow over a Nonlinear Radially Stretching Disk. - Umer Farooq; Muhammad Idrees Afridi; Muhammad Qasim; Dianchen Lu (Entropy, 2018)

Entropy Analysis of 3D Non-Newtonian MHD Nanofluid Flow with Nonlinear Thermal Radiation Past over Exponential Stretched Surface. - Muhammad Suleman; Muhammad Ramzan; Madiha Zulfiqar; Muhammad Bilal; Ahmad Shafee; Jae Dong Chung; Dianchen Lu; Umer Farooq (Entropy, 2018)

Applications of propagation of long-wave with dissipation and dispersion in nonlinear media via solitary wave solutions of generalized Kadomtsev-Petviashvili modified equal width dynamical equation. - Aly R. Seadawy; Mujahid Iqbal; Dianchen Lu (Comput. Math. Appl., 2019)

Explicit Lump Solitary Wave of Certain Interesting (3+1)-Dimensional Waves in Physics via Some Recent Traveling Wave Methods. - Mostafa M. A. Khater; Raghda A. M. Attia; Dianchen Lu (Entropy, 2019)

Entropy Analysis in Double-Diffusive Convection in Nanofluids through Electro-osmotically Induced Peristaltic Microchannel. - Saima Noreen; Sadia Waheed; Abid Hussanan; Dianchen Lu (Entropy, 2019)

Integral Transform Method to Solve the Problem of Porous Slider without Velocity Slip. - Naeem Faraz; Yasir Khan; Dianchen Lu; Marjan Goodarzi (Symmetry, 2019)

Hydrodynamical Study of Micropolar Fluid in a Porous-Walled Channel: Application to Flat Plate Dialyzer. - Dianchen Lu; Muhammad Kahshan; Abdul Majeed Siddiqui (Symmetry, 2019)

MHD Boundary Layer Flow of Carreau Fluid over a Convectively Heated Bidirectional Sheet with Non-Fourier Heat Flux and Variable Thermal Conductivity. - Dianchen Lu; Mutaz Mohammad; Muhammad Ramzan; Muhammad Bilal; Fares M. Howari; Muhammad Suleman (Symmetry, 2019)

A Numerical Simulation of Silver-Water Nanofluid Flow with Impacts of Newtonian Heating and Homogeneous-Heterogeneous Reactions Past a Nonlinear Stretched Cylinder. - Muhammad Suleman; Muhammad Ramzan; Shafiq Ahmad; Dianchen Lu; Taseer Muhammad; Jae Dong Chung (Symmetry, 2019)

Computational and Numerical Solutions for 2+1-Dimensional Integrable Schwarz-Korteweg-de Vries Equation with Miura Transform. - Raghda A. M. Attia; Suleman H. Alfalqi; Jameel F. Alzaidi; Mostafa M. A. Khater; Dianchen Lu (Complex., 2020)

Investigation of Entropy in Two-Dimensional Peristaltic Flow with Temperature Dependent Viscosity, Thermal and Electrical Conductivity. - Muhammad Qasim; Zafar Ali; Umer Farooq; Dianchen Lu (Entropy, 2020)

Bright-Dark and Multi Solitons Solutions of (3 + 1)-Dimensional Cubic-Quintic Complex Ginzburg-Landau Dynamical Equation with Applications and Stability. - Chen Yue; Dianchen Lu; Muhammad Arshad 004; Naila Nasreen; Xiaoyong Qian (Entropy, 2020)

On the computational and numerical solutions of the transmission of nerve impulses of an excitable system (the neuron system). - Mostafa M. A. Khater; Raghda A. M. Attia; Abdel-Haleem Abdel-Aty; Sayed Abdel-Khalek; Yas Al-Hadeethi; Dianchen Lu (J. Intell. Fuzzy Syst., 2020)

On the stable computational, semi-analytical, and numerical solutions of the Langmuir waves in an ionized plasma. - Mostafa M. A. Khater; Raghda A. M. Attia; Haiyong Qin; Heba Kadry; Radwan Kharabsheh; Dianchen Lu (J. Intell. Fuzzy Syst., 2020)

Ample soliton waves for the crystal lattice formation of the conformable time-fractional (N + 1) Sinh-Gordon equation by the modified Khater method and the Painlevé property. - Haiyong Qin; Raghda A. M. Attia; Mostafa M. A. Khater; Dianchen Lu (J. Intell. Fuzzy Syst., 2020)

Novel Soliton Solutions of Two-Mode Sawada-Kotera Equation and Its Applications. - Ammar Oad; Muhammad Arshad 004; Muhammad Shoaib; Dianchen Lu; Xiaohong Li (IEEE Access, 2021)

Numerical Simulation of Fractional Zakharov-Kuznetsov Equation for Description of Temporal Discontinuity Using Projected Differential Transform Method. - Dianchen Lu; Muhammad Suleman; Jamshaid Ul Rahman; Samad Noeiaghdam; Ghulam Murtaza 003 (Complex., 2021)

Abundant Traveling Wave and Numerical Solutions of Weakly Dispersive Long Waves Model. - Wu Li; Lanre Akinyemi; Dianchen Lu; Mostafa M. A. Khater (Symmetry, 2021)

Amplifying Sine Unit: An Oscillatory Activation Function for Deep Neural Networks to Recover Nonlinear Oscillations Efficiently. - Jamshaid Ul Rahman; Faiza Makhdoom; Dianchen Lu (CoRR, 2023)

ASU-CNN: An Efficient Deep Architecture for Image Classification and Feature Visualizations. - Jamshaid Ul Rahman; Faiza Makhdoom; Dianchen Lu (CoRR, 2023)

Non-smooth solutions of time-fractional Allen-Cahn problems via novel operational matrix based semi-spectral method with convergence analysis. - Muhammad Usman 021; Muhammad Hamid; Dianchen Lu; Zhengdi Zhang (Comput. Math. Appl., 2024)

Fractional numerical analysis of γ-Al2O3 nanofluid flows with effective Prandtl number for enhanced heat transfer. - Mumtaz Khan; Dianchen Lu; Ghulam Rasool; Wejdan Deebani; Shaaban M. Shaaban (J. Comput. Des. Eng., 2024)

Insights of temperature-dependent fluid characteristics on micropolar material in a rotating frame with cubic autocatalysis chemical reaction. - Shahzad Khattak; Muhammad Naveed Khan; Muhammad Bilal Riaz; Dianchen Lu; Mohamed Hussien; M. Daher Albalwi; Adil Jhangeer (J. Comput. Des. Eng., 2024)

Multi-expression programming for enhancing MHD heat transfer in a nanofluid-filled enclosure with heat generation and viscous dissipation. - Naeem Ullah; Aneela Bibi; Dianchen Lu (Comput. Phys. Commun., 2025)