Top

Published in:

2024 | OriginalPaper | Chapter

Numerical Solution for Fractional-Order Glioblastoma Multiforme Model

Authors : Iqbal Jebril, Shameseddin Alshorm, Iqbal M. Batiha

Published in: Mathematical Analysis and Numerical Methods

Publisher: Springer Nature Singapore

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

Glioblastoma, also known as glioblastoma multiforme (GBM), is the most deadly cancer that infects the brain. Cancer is one of the most vicious killers in the world and the control of tumor growth requires special attention. The typical approach for treating GBM involves surgical resection of as much of the tumor as possible. This paper aims to present a numerical solution for a recent fractional-order model connected with glioblastoma multiforme. This will be done by employing a recent numerical scheme called the Modified Fractional Euler Method (MFEM). Some numerical comparisons will be performed between our proposed scheme and the traditional numerical scheme; Fractional Euler Method (FEM).

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

previous chapter Coupled Hidden Markov Model with Binomial and Truncated Geometric Copula to Investigate Hypertension and Diabetes Multimorbidity Progression

next chapter Correction to: A Comparative Numerical Study of a Classical Model and Fractional Model for Leishmaniasis

Dababneh, A., Djenina, N., Ouannas, A., Grassi, G., Batiha, I.M., Jebril, I.H.: A new incommensurate fractional-order discrete COVID-19 model with vaccinated individuals compartment. Fractal Fract. 6(8), 456 (2022). https://doi.org/10.3390/fractalfract6080456

Hammad, M.A., Jebril, I.H., Alshorm, S., Batiha, I. M., Hammad, N. A.: Numerical solution for fractional-order mathematical model of immune-chemotherapeutic treatment for breast cancer using modified fractional formula. Int. J. Anal. Appl. 21, 89 (2023)

Almuzini, M., Batiha, I.M., Momani, S.: A study of fractional-order monkeypox mathematical model with its stability analysis. In: 2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), Ajman, United Arab Emirates, pp. 1–6 (2023). https://doi.org/10.1109/ICFDA58234.2023.10153214

Batiha, I.M., Abubaker, A.A., Jebril, I.H., Al-Shaikh, S.B., Matarneh, K., Almuzini, M.: A mathematical study on a fractional-order SEIR Mpox model: analysis and vaccination influence. Algori. 16(9), 418 (2023). https://doi.org/10.3390/a16090418

Batiha, Iqbal M., Alshorm, Shameseddin, Jebril, Iqbal, Zraiqat, Amjed, Momani, Zaid, Momani, Shaher: Modified 5-point fractional formula with Richardson extrapolation. AIMS Math. 8(4), 9520–9534 (2023)MathSciNetCrossRef

Batiha, I.M., Bataihah, A., Al-Nana, A.A., Alshorm, S., Jebril, I.H., Zraiqat, A.: A numerical modification for solving fractional initial value problem. Int. J. Inno. Comp., Info. Cont. 19(3), 763–774 (2023)

Odibat, Z., Momani, S.: An Algorithm for the numerical solution of differential equations of fractional order. J. Appl. Math. Inform. 26, 15–27 (2008)

Batiha, I.M., Alshorm, S., Al-Husban, A., Saadeh, R., Gharib, G., Momani, S.: The n-point composite fractional formula for approximating Riemann-Liouville integrator. Symm. 15(4), 938 (2023). https://doi.org/10.3390/sym15040938

Al-Shomrani, M.M., Abdelkawy, M.A.: Numerical simulation for fractional-order differential system of a Glioblastoma multiforme and immune system. Adv. Diff. Equ. 2020(1), 1–15 (2020)MathSciNetCrossRef

10.

Hamadneh, T., Hioual, A., Alsayyed, O., AL-Khassawneh, Y.A., Al-Husban, A., Ouannas, A.: Local stability, global stability, and simulations in a fractional discrete glycolysis reaction–diffusion model. Fractal. Fractional. 7(8), 587 (2023)

11.

Batiha, I.M., Obeidat, A., Alshorm, S., Alotaibi, A., Alsubaie, H., Momani, S., Albdareen, M., Zouidi, F., Eldin, S.M., Jahanshahi, H.: A numerical confirmation of a fractional-order COVID-19 model’s efficiency. Symm. 14(12), 2583 (2022)CrossRef

Title: Numerical Solution for Fractional-Order Glioblastoma Multiforme Model
Authors: Iqbal Jebril
Shameseddin Alshorm
Iqbal M. Batiha
Publisher: Springer Nature Singapore
Book: Mathematical Analysis and Numerical Methods
Print ISBN: 978-981-9748-75-4

Electronic ISBN: 978-981-9748-76-1

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-981-97-4876-1_42

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"