References:
1. Deuflhard, P., Hairer, E., and Zugck, J. “One-step and extrapolation methods for differential-algebraic systems”, Numerische Mathematik, 51, pp. 501-516 (1987). https://doi.org/10.1007/bf01400352
2. Ali, A.T. “New generalized Jacobi elliptic function ra-tional expansion method”, Journal of Computational and Applied Mathematics, 235(14), pp. 4117-4127 (2011). https://doi.org/10.1016/j.cam.2011.03.002
3. Majdalani, J. and Roh, T.S. “Vorticity dynamics in isobaric ally closed porous channel’s part II: space-reductive perturbations”, Journal of Propulsion and Power, 17(2), pp. 363-370 (2001). https://doi.org/10.2514/2.5750
4. Cao, J., Gu, Y., Fan, W., et al. “Extended mapping and exploration of the vanadium dioxide stress-temperature phase diagram”, Nano Letters, 10(7), pp. 2667-2673 (2010). https://doi.org/10.1021/nl101457k
5. Olayiwola, M.O., Alaje, A.I., Yunus, A.O., et al. “A mathematical modeling of COVID-19 treatment strategies utilizing the laplace adomian decomposition method”, Results in Control and Optimization, 14, 100384 (2024). https://doi.org/10.1016/j.rico.2024.100384
6. Nadeem, S., Abbas Haider, J., and Akhtar, S. “Mathematical modeling of Williamson's model for blood flow inside permeable multiple stenosed arteries with electro-osmosis”, Scientia Iranica, 30(5), pp. 1572-1586 (2023). https://doi.org/10.24200/sci.2023.59837.6457
7. Ayaz, F. “Solutions of the system of differential equations by differential transform method”, Applied Mathematics and Computation, 147(2), pp. 547-567 (2004). https://doi.org/10.1016/s0096-3003(02)00794-4
8. He, J.H. “Variational iteration method–a kind of non-linear analytical technique: some examples”, Interna-tional Journal of Non-Linear Mechanics, 34(4), pp. 699-708 (1999). https://doi.org/10.1016/s0020-7462(98)00048-1
9. Odibat, Z.M. “A study on the convergence of variational iteration method”, Mathematical and Computer Modelling, 51(9-10), pp. 1181-1192 (2010). https://doi.org/10.1016/j.mcm.2009.12.034
10. Huang, J., Feng, C., Wang, X., et al. “Continuous–discontinuous element method for simulating three‐dimensional reinforced concrete structures”, Structural Concrete, 26(5), pp. 5846-5861 (2024). https://doi.org/10.1002/suco.202300531
11. Zhang, T., Xu, S., and Zhang, W. “New approach to feedback stabilization of linear discrete time-varying stochastic systems”, IEEE Transactions on Automatic Control, 70(3), pp. 2004-2011 (2025). https://doi.org/10.1109/tac.2024.3482119
12. Xiao, Y., Yang, Y., and Ye, D. “Scaling transformation based attitude tracking control for rigid spacecraft with prescribed time and prescribed bound”, IEEE Transactions on Aerospace and Electronic Systems, 61(1), pp. 433-442 (2025). https://doi.org/10.1109/TAES.2024.3451454
13. Xiao, Y., Yang, Y., Ye, D., et al. Quantitative precision second-order temporal transformation-based pose control for spacecraft proximity operations”, IEEE Transactions on Aerospace and Electronic Systems, 61(2), pp. 1931-1941 (2025). https://doi.org/10.1109/TAES.2024.3469167
14. Guo, W. “The Laplace transform as an alternative general method for solving linear ordinary differential equations”, STEM Education, 1(4), pp. 309-329 (2021). https://doi.org/10.3934/steme.2021020
15. Okiotor, N., Ogunfiditimi, F., and Durojaye, M.O. “On the computation of the Lagrange multiplier for the variational iteration method (vim) for solving differential equations”, Journal of Advances in Mathematics and Computer Science, 35(3), pp. 74-92 (2020). https://doi.org/10.9734/jamcs/2020/v35i330261
16. Samaee, S.S., Yazdanpanah, O., and Ganji, D.D. “New approaches to identification of the Lagrange multiplier in the variational iteration method”, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 37, pp. 937-944 (2015). https://doi.org/10.1007/s40430-014-0214-3
17. Tomar, S., Singh, M., Vajravelu, K., et al. “Simplifying the variational iteration method: A new approach to obtain the lagrange multiplier”, Mathematics and Computers in Simulation, 204, pp. 640-644 (2023). https://doi.org/10.1016/j.matcom.2022.09.003
18. Wazwaz, A.M. and Rach, R. “Comparison of the adomian decomposition method and the variational iteration method for solving the Lane‐Emden equations of the first and second kinds”, Kybernetes, 40(9/10), pp. 1305-1318 (2011). https://doi.org/10.1108/03684921111169404
19. Wazwaz, A.M. and El-Tantawy, S.A. “Optical gaussons for nonlinear logarithmic schrödinger equations via the variational iteration method”, Optik, 180, pp. 414-418 (2019). https://doi.org/10.1016/j.ijleo.2018.11.114
20. Al-Fayadh, A. and Faraj, D.S. “Laplace substitution–variational iteration method for solving Goursat problems involving mixed partial derivatives”, American Journal of Mathematical and Computer Modelling, 4(1), pp.16-20 (2019). https://doi.org/10.11648/j.ajmcm.20190401.12
21. Soltanian, F., Karbassi, S.M., and Hosseini, M.M. “Application of He’s variational iteration method for solution of differential-algebraic equations”, Chaos, Solitons and Fractals, 41(1), pp. 436-445 (2009). https://doi.org/10.1016/j.chaos.2008.02.004
22. Ye, D., Wang, B., Wu, L., et al. “PO-SRPP: A decentralized pivoting path planning method for self-reconfigurable satellites”, IEEE Transactions on Industrial Electronics, 71(4), pp. 14318-14327 (2024). https://doi.org/10.1109/TIE.2024.3370976
23. Xiao, Z.Y., Li, Y.J., Zhang, W., et al. “Enhancement of torque efficiency and spin Hall angle driven collaboratively by orbital torque and spin–orbit torque”, Applied Physics Letters, 121(7), 072404 (2022). https://doi.org/10.1063/5.0086125
24. Guo, S., Deng, B., Chen, C., et al. “Seeking in ride-on-demand service: A reinforcement learning model with dynamic price prediction”, IEEE Internet of Things Journal, 11(18), pp. 29890-29910 (2024). https://doi.org/10.1109/JIOT.2024.3407119
25. Li, Y., Li, J., Feng, C., et al. “An interface constitutive model of plastic tensile–compressive damage under impact loading based on continuous–discontinuous framework”, Computers and Geotechnics, 173, 106502 (2024). https://doi.org/10.1016/j.compgeo.2024.106502
26. Bo, Y., Zhao, X., and Li, L. “Cardiotoxic effects of common and emerging drugs: role of cannabinoid receptors”, Clinical Science, 138(6), pp. 413-434 (2024). https://doi.org/10.1042/CS20231156
27. Song, Z., Bian, W., Lin, J., et al. “Heart proteomic profiling discovers MYH6 and COX5B as biomarkers for sudden unexplained death”, Forensic Science International, 361, 112121 (2024). https://doi.org/10.1016/j.forsciint.2024.112121
28. Peng, B., Chen, J., Githinji, P.B., et al. “Practical guidelines for cell segmentation models under optical aberrations in microscopy”, Computational and Structural Biotechnology Journal, 26, pp. 23-39 (2024). https://doi.org/10.1016/j.csbj.2024.09.002
29. Yu, L., Lei, Y., Ma, Y., et al. “A comprehensive review of fluorescence correlation spectroscopy”, Frontiers in Physics, 9, 644450 (2021). https://doi.org/10.3389/fphy.2021.644450
30. Yu, L., Lei, Y., Ma, Y., et al. “Comprehensive multivariate joint distribution model for marine soft soil based on the vine copula”, Computers and Geotechnics, 177, 106814 (2025). https://doi.org/10.1016/j.compgeo.2024.106814
31. Chen, Q., Mei, X., He, J., et al. “Modeling and compensation of small-sample thermal error in precision machine tool spindles using spatial–temporal feature interaction fusion network”, Advanced Engineering Informatics, 62, 102741 (2024). https://doi.org/10.1016/j.aei.2024.102741
32. Wu, Z., Ma, C., Zhang, L., et al. “Predicting and compensating for small-sample thermal information data in precision machine tools: A spatial-temporal interactive integration network and digital twin system approach”, Applied Soft Computing, 161, 111760 (2024). https://doi.org/10.1016/j.asoc.2024.111760
33. Lu, Y., Guo, Z., Zhang, M., et al. “Flow-heat coupling analysis of the 1/4 symmetrical CAP1400 nuclear island loop based on the source term approach”, Annals of Nuclear Energy, 211, 110926 (2025). https://doi.org/10.1016/j.anucene.2024.110926
34. Wang, C., Yang, L., Hu, M., et al. “On-demand airport slot management: tree-structured capacity profile and coadapted fire-break setting and slot allocation”, Transportmetrica A: Transport Science, pp. 1-35 (2024). https://doi.org/10.1080/23249935.2024.2393224
35. Wu, Y., Kang, F., Zhang, Y., et al. “Structural identification of concrete dams with ambient vibration based on surrogate-assisted multi-objective salp swarm algorithm”, In Structures, 60, 105956 (2024). https://doi.org/10.1016/j.istruc.2024.105956
36. Fan, J., Zhang, X., He, N., et al. “Physical absorption and thermodynamic modeling of CO2 in new deep eutectic solvents”, Journal of Molecular Liquids, 402, 124752 (2024). https://doi.org/10.1016/j.molliq.2024.124752
37. Zhao, Z., Zhang, H., Shiau, J., et al. “Failure envelopes of rigid tripod pile foundation under combined vertical-horizontal-moment loadings in clay”, Applied Ocean Research, 150, 104131 (2024). https://doi.org/10.1016/j.apor.2024.104131
38. Guo, S., Deng, B., Chen, C., et al. “Seeking in ride-on-demand service: A reinforcement learning model with dynamic price prediction”, IEEE Internet of Things Journal, 11(18), pp. 29890-29910 (2024). https://doi.org/10.1109/JIOT.2024.3407119
39. Haider, J.A., Gul, S., and Nadeem, S. “Numerical investigation of the heat transfer and peristaltic flow through a asymmetric channel having variable viscosity and electric conductivity”, Scientia Iranica, (2023). https://doi.org/10.24200/sci.2023.60404.6783
40. Sanaullah, A. and Sabir, S. “Combined type generalized classes of efficient estimators of mean in joint presence of measurement error and non-response using stratified two-phase sampling”, Scientia Iranica, 31(18), pp. 1567-1595 (2024). https://doi.org/10.24200/sci.2022.54750.3906
41. Xie, J., Wen, M., Ding, P., et al. “Interfacial flow contact resistance effect for thermal consolidation of layered viscoelastic saturated soils with semi‐permeable boundaries”, International Journal for Numerical and Analytical Methods in Geomechanics, 48(15), pp. 3640-3679 (2024). https://doi.org/10.1002/nag.3805
42. Ling, W., Jing, C., Wan, J., et al. “Design and construction of the near-earth space plasma simulation system of the Space Plasma Environment Research Facility”, Journal of Plasma Physics, 90(1), 345900101 (2024). https://doi.org/10.1017/S0022377823001460
43. Wang, Y., Du, D., Song, Y., et al. “Photonics based integrated radar jamming and secure communication system at Ka-band”, Journal of Lightwave Technology, 42(10), pp. 3621-3630 (2024). https://doi.org/10.1109/JLT.2024.3362254
44. Hu, Y., chao Zhang, X., qiang Wang, G., et al. “Hovering efficiency optimization of ducted propeller with large blade tip clearance based on grooved duct configuration”, Aerospace Science and Technology, 150, 109226 (2024). https://doi.org/10.1016/j.ast.2024.109226
45. Yao, H., Pugliese, D., Lancry, M., et al. “Ultrafast laser direct writing nanogratings and their engineering in transparent materials”, Laser and Photonics Reviews, 18(9), 2300891 (2024). https://doi.org/10.1002/lpor.202300891
46. Meng, S., Meng, F., Zhang, F., et al. “Observer design method for nonlinear generalized systems with nonlinear algebraic constraints with applications”, Automatica, 162, 111512 (2024). https://doi.org/10.1016/j.automatica.2024.111512
47. Jayanthy, A.K., Sujatha, N., and Reddy, M.R. “Measuring blood flow: techniques and applications–a review”, Int. J. Res. Review Appl. Sci, 6, pp. 203-216 (2011). https://doi.org/10.1117/12.2041874
48. Čanić, S. and Kim, E.H. “Mathematical analysis of the quasilinear effects in a hyperbolic model blood flow through compliant axi‐symmetric vessels”, Mathemat-ical Methods in the Applied Sciences, 26(14), pp. 1161-1186 (2003). https://doi.org/10.1002/mma.407
49. Akhtari Shishavan, H., Mirzaee, I., and Pourmahmoud, N. “Lattice boltzmann simulation of blood flow properties and vessel geometry in open and closed vessels: A numerical study”, Scientia Iranica, 26(6), pp. 3283-3292 (2019). https://doi.org/10.24200/sci.2018.50751.1851
50. Kumar Mishra, N., Adnan, ur Rahman, K., M. Eldin, S., et al. “Investigation of blood flow characteristics saturated by graphene/CuO hybrid nanoparticles under quadratic radiation using VIM: study for expanding/contracting channel”, Scientific Reports, 13(1), 8503 (2023). https://doi.org/10.1038/s41598-023-35695-3