High-accuracy Runge–Kutta methods for stiff ODE systems
Reshma K. P.kpreshma6776@gmail.comAffiliation 1Department of MathematicsRungta International Skills UniversityBhilai, Chhattisgarh, IndiaAffiliation 2Department of MathematicsRungta College of Engineering and TechnologyBhilai, Chhattisgarh, IndiaView full profile → , Shashikant Prasadshashikant1aug@gmail.comDepartment of Electrical EngineeringPimpri-ChinchwadDr. D. Y. Patil Institute of TechnologyPune, Maharashtra, 411018, IndiaView full profile → , *Chetan Kumar SharmaCorresponding authorchetan.sharma@niu.edu.inSchool of SciencesNoida International UniversityNoida, Uttar Pradesh, 203201, IndiaView full profile → , Abhijeet Deshpandeabhijeet.deshpande@vit.eduDepartment of Mechanical EngineeringVishwakarma Institute of TechnologyPune, Maharashtra, 411037, IndiaView full profile → , Sahebrao Bhaurao Bagalbagalsb@gmail.comDepartment of Electronic and Telecommunication EngineeringLate G. N. Sapkal College of EngineeringNashik, 422213, IndiaView full profile → , K. Tejaswiktejaswi@outlook.comDepartment of Information TechnologyKKR and KSR Institute of Technology and SciencesGuntur, Andhra Pradesh, 522017, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Dec 2024
- Published Online:
- 30 Sep 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2363
- Pages:
- 2217–2225
Abstract
Keywords
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References
[1] S. H. Nasab and B. C. Vermeire, “Third-order paired explicit Runge–Kutta schemes for stiff systems of equations,” J. Comput. Phys., vol. 468, pp. 111470 (2022).
[2] S. H. Nasab, C. A. Pereira, and B. C. Vermeire, “Optimal Runge–Kutta stability polynomials for multidimensional high-order methods,” J. Sci. Comput., vol. 89, pp. 11 (2021).
[3] D. Doehring, M. Schlottke-Lakemper, G. J. Gassner, and M. Torrilhon, “Multirate time-integration based on dynamic ODE partitioning through adaptively refined meshes for compressible fluid dynamics,” J. Comput. Phys., vol. 514, pp. 113223 (2024).
[4] D. Doehring, G. J. Gassner, and M. Torrilhon, “Many-stage optimal stabilized Runge–Kutta methods for hyperbolic partial differential equations,” J. Sci. Comput., vol. 99, pp. 28 (2024).
[5] G.-D. Hu and Z. Wang, “A modified Runge–Kutta method for increasing stability properties,” J. Comput. Appl. Math., vol. 441, pp. 115698 (2024).
[6] A. D. Jauhari, A. Munjal, and S. Kumar, “Absolute linear method of summation with weighted mean,” J. Interdiscip. Math., vol. 28, no. 4, pp. 1417–1428 (2025), doi: 10.47974/JIM-1919.
[7] L. Aceto, D. Conte, and G. Pagano, “On a generalization of time-accurate and highly-stable explicit operators for stiff problems,” Appl. Numer. Math., vol. 200, pp. 2–17 (2024).
[8] Z. Kalogiratou and T. Monovasilis, “Construction of two-derivative Runge–Kutta methods of order six,” Algorithms, vol. 16, pp. 558 (2023).
[9] A. A. Bamanikar, R. Kolte, P. Kasture, A. Jogi, and R. Joshi, “Virtual labs for chemical experiments,” Int. J. Recent Adv. Eng. Technol. (IJRAET), vol. 14, no. 1, pp. 118–122 (Apr. 2025).
[10] C. Bedjguelel, H. Gharout, and B. Farhi, “Dynamics analysis of the modified Beverton-Holt model,” J. Interdiscip. Math., vol. 27, no. 6, pp. 1257–1271 (2024), doi: 10.47974/JIM-1748.
[11] S. J. Desai and K. G. Kharade, “Stock market price prediction using LSTM,” Int. J. Adv. Comput. Theory Eng., vol. 14, no. 1, pp. 16–19 (Apr. 2025).
[12] A. Godbole, R. Dhabliya, V. Deshpande, S. A. Sivakumar, B. M. Shankar, and V. Khetani, “Ethical hacking and penetration testing strengthening cybersecurity posture through offensive security measures,” J. Discrete Math. Sci. Cryptogr., vol. 27, no. 4, pp. 1295–1305 (2024).
