Exact Solutions of Cardiovascular Models by using Upadhyaya Transform
DOI:
https://doi.org/10.31642/JoKMC/2018/110107%20Keywords:
Differential equations, Upadhyaya transform (UT), Inverse Upadhyaya transform, cardiovascular models.Abstract
In many practical fields, such as engineering, physics, chemistry, biology, psychology, economics, and finance, processes are simulated using differential equations. These models solutions, in contrast to algebraic equations, may be more intricate. In order to get at the solutions to these models, it is easy to employ integral transformations. In this paper, we use the Upadhyaya transform to obtain accurate solutions to two cardiovascular models. It is obvious that the Upadhyaya transform is an effective, dependable, and simple technique for solving differential equations.
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Städter, P., Schälte, Y., Schmiester, L., Hasenauer, J., & Stapor, P. L. “Benchmarking of numerical integration methods for ODE models of biological systems”. Scientific reports, 11(1), 2696, 2021.
Upadhyaya, Lalit Mohan. Introducing the Upadhyaya integral transform, “Bulletin of Pure and Applied Sciences Section E - Mathematics & Statistics”, 38E (1), 471–510, 2019.
Higazy, M., Sudhanshu Aggarwal, and Taher A. Nofal. “Sawi decomposition method for Volterra integral equation with application”, Journal of Mathematics, 1-13, 2020.
Mousa, A. “Application of the Upadhyaya transform to Volterra integral equations of the first kind”, Bulletin of Pure and Applied Sciences Section E - Mathematics & Statistics, 140-148, 2021.
Kumar, A., S. Bansal, and S. Aggarwal. “Determination of the blood glucose concentration of a patient during continuous intravenous injection using Anuj transform”, Neuroquantology 19(12), 303-306, 2021.
Kumar, R., Chandel, J. and Aggarwal, S. “A new integral transform Rishi Transform, with application”. Journal of Scientific Research, 14(2), 521-532, 2022.
Mansour, Eman A., Kuffi, E. A and Sadiq A. Mehdi. “Solving partial differential equations using double complex SEE integral transform”, In AIP Conference Proceedings, vol. 2591, no. 1. AIP Publishing, 2023.
Zamil, Intidhar., Kuffi, E. A. “Sadik complex Sadik integral transforms of system of ordinary differential equations”. Iraqi Journal for Computer Science and Mathematics, 4(1), 181-190, 2023.
H. A. Peker, F. A. Cuha, B. Peker, Solving Steady Heat Transfer Problems via Kashuri Fundo Transform, Thermal Science 26 (4A) (2022) 3011–3017.
H. A. Peker, F. A. C¸ uha, “Application of Kashuri Fundo Transform to Decay Problem”, SDU Journal of Natural and Applied Sciences 26 (3) (2022) 546–551.
H. A. Peker, F. A. C¸ uha, B. Peker, “Kashuri Fundo Transform for Solving Chemical Reaction Models”, in: T. Acar (Ed.), Proceedings of International E-Conference on Mathematical and Statistical Sciences: A Sel¸cuk Meeting, Konya, 145–150, 2022.
H. A. Peker, F. A. C¸ uha, “Solving One-Dimensional Bratu’s Problem via Kashuri Fundo Decomposition Method”, Romanian Journal of Physics 68 (5-6) (2023) (in press).
H. A. Peker, F. A. C¸ uha, B. Peker, “Kashuri Fundo Decomposition Method for Solving MichaelisMenten Nonlinear Biochemical Reaction Model”, MATCH Communications in Mathematical and in Computer Chemistry 90 (2) , 315–332, 2023.
H. A. Peker, F. A. C¸ uha, “Application of Kashuri Fundo Transform to Population Growth and Mixing Problem”, in: D. J. Hemanth, T. Yigit, U. Kose, U. Guvenc (Eds.), 4th International Conference on Artificial Intelligence and Applied Mathematics in Engineering, Vol. 7 of Engineering Cyber-Physical Systems and Critical Infrastructures, Springer, Cham, 407–414, 2023.
Thakur, Dinesh , Thakur, P.C. “Utilizing the Upadhyaya Transform to solve the linear second kind Volterra Integral Equation”, The Review of Contemporary Scientific and Academic Studies, 3(4), 1-5, 2023.
Zamil, Intidhar. Kuffi, E. A. “A Novel Integral Transform: INEM-Transform”, Journal of Kufa for Mathematics and Computer, 10(2), 109-113, 2023.
PEKER, H.A. and ÇUHA, F.A. “Exact Solutions of Some Basic Cardiovascular Models by Kashuri Fundo Transform”. Journal of New Theory, 43, 63-72, 2023.
Upadhyaya, Lalit Mohan., Shehata, Ayman and Kamal, A. “An update on the Upadhyaya transform”, Bulletin of Pure and Applied Sciences Section E - Mathematics & Statistics, 40E (1), 26–44, 2021.
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