Numerical methods for finding periodic solutions of ordinary differential equations with strong nonlinearity

Dababneh, Amer; Zraiqat, Amjed; Farah, Abdulkarim; Al-Zoubi, Hassan; Hammad, Ma’mon Abu

doi:10.28919/jmcs/6477

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…In this part, we offer some numerical findings using the technique described in the preceding section. We examine an ICT interaction's fractional-order differential system and for more, we recommend [15][16][17][18][19]. For the given parameter values, we plot the numerical solution of the considered model in Figures 1-2-3 and 4.…”

Section: Numerical Resultsmentioning

confidence: 99%

Numerical Solution for Fractional-Order Mathematical Model of Immune-Chemotherapeutic Treatment for Breast Cancer Using Modified Fractional Formula

Abu Hammad,

Jebril,

Alshorm

et al. 2023

Int. J. Anal. Appl.

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Cancer is a complex and diverse group of diseases characterized by the uncontrolled growth and spread of abnormal cells in the body. Tumors, which are commonly associated with cancer, refer to abnormal masses of tissue that can develop in various organs or tissues. Cancer can arise from almost any cell type in the body and can affect different organs and systems. The disease occurs when the normal processes of cell division and growth go awry, leading to the formation of malignant tumors. These tumors have the potential to invade nearby tissues and spread to distant parts of the body through a process known as metastasis. In this paper, we aim to present a numerical solution for a recent fractional-order model related to Immune-Chemotherapeutic Treatment for Breast Cancer (ICT) using a novel numerical scheme called the Modified Fractional Euler Method (MFEM). We will also compare our proposed scheme with the traditional numerical scheme, Fractional Euler Method (FEM), through numerical simulations.

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Section: Numerical Resultsmentioning

confidence: 99%

Numerical Solution for Fractional-Order Mathematical Model of Immune-Chemotherapeutic Treatment for Breast Cancer Using Modified Fractional Formula

Abu Hammad,

Jebril,

Alshorm

et al. 2023

Int. J. Anal. Appl.

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“…Several methods for numerical analysis and simulation of periodic equations have been proposed in the literature. One of the numerical methods is the collocation method, see [13,14]. Samoilenko [15] proposed another quasi-linear numerical method.…”

Section: Introductionmentioning

confidence: 99%

Semilinear periodic equation with arbitrary nonlinear growth and data measure: mathematical analysis and numerical simulation

El Ghabi,

Alaa,

Alaa

2023

Math. Model. Comput.

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In this work, we are interested in the existence, uniqueness, and numerical simulation of weak periodic solutions for some semilinear elliptic equations with data measures and with arbitrary growth of nonlinearities. Since the data are not very regular and the growths are arbitrary, a new approach is needed to analyze these types of equations. Finally, a suitable numerical discretization scheme is presented. Several numerical examples are given which show the robustness of our algorithm.

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Numerical methods for finding periodic solutions of ordinary differential equations with strong nonlinearity

Cited by 2 publications

References 8 publications

Numerical Solution for Fractional-Order Mathematical Model of Immune-Chemotherapeutic Treatment for Breast Cancer Using Modified Fractional Formula

Numerical Solution for Fractional-Order Mathematical Model of Immune-Chemotherapeutic Treatment for Breast Cancer Using Modified Fractional Formula

Semilinear periodic equation with arbitrary nonlinear growth and data measure: mathematical analysis and numerical simulation

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