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2025 - Volume 40 [Issue 9]

Original Research Article

On Certain Relation of Sums of Squares and Quartic $$\sum_{r=1}^{2 k} a_r^4+k d^4=2 \sum_{r=1}^{2 k-1}\left(a_r a_{r+1}+d^2\right)^2$$

Lao Hussein Mude, Zachary Kaunda Kayiita, Kinyanjui Jeremiah Ndung’u

DOI: 10.9734/jamcs/2025/v40i92039

Page: 1-6

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A Novel Wavelet-based Approximation Scheme for the Approximate Solution/Source of Fredholm Integral Equation of the Second Kind with Variable Coefficient and the Pseudo-Logarithmic Kernels

Sudam Bin, Sharda Kumari, Madan Mohan Panja

DOI: 10.9734/jamcs/2025/v40i92040

Page: 7-23

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Combinatorial Approximation Method for the Fractional Stochastic Hamilton–Jacobi–Bellman Equation

Abel ZONGO, Finyori FAYAMA, Raogo Frank Emile 1er Jumeau KABORE, S. Pierre Clovis NITIEMA

DOI: 10.9734/jamcs/2025/v40i92041

Page: 24-35

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An Efficient Spectral Method for Second-Order Elliptic Equations with Variable Coefficients on a Planar Circular Sector

Qilong Zhu, Jihui Zheng

DOI: 10.9734/jamcs/2025/v40i92042

Page: 36-45

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Modelling Fluid Flow in an Open Circular Channel with three Lateral Inflows

Mucunku Misheck, Jomba Jason, Alex Rwanda

DOI: 10.9734/jamcs/2025/v40i92043

Page: 46-58

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Modeling Motor-Cycle Flow Dynamics in Disordered Heterogeneous Traffic System, A Case of Kisii Town Road Network

Jared Nyaberi Bosire, Kimtai Boaz Simatwo, Emily Bosire Ogechi

DOI: 10.9734/jamcs/2025/v40i92044

Page: 59-68

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Applications of Lax-Friedrich Finite Difference Method Macroscopic and Microscopic Traffic Flow Modelling PDEs and ODEs Numerical Solutions

Jared Nyaberi Bosire, Bulinda Vincent Major, Obogi Robert Karieko, Osogo Abraham Nyakebogo

DOI: 10.9734/jamcs/2025/v40i92045

Page: 69-85

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Modeling Social Factor and Faulty Health System on The Dynamic of Childhood Diarrhea in Majengo Nyeri County, Kenya

Caroline Wambui Muiri, Rachel Atieno, Moffat Chamuchi

DOI: 10.9734/jamcs/2025/v40i92046

Page: 86-106

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The ϕ-labeling on Certain Classes of Graphs

Along Longchari, Watitoshi Ao

DOI: 10.9734/jamcs/2025/v40i92047

Page: 107-115

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On Some Relations with Square Normal, Class Q\(^∗\) and n-normal Operators

Warue Edith, Sammy W. Musundi, Jeremiah K. Ndung’u

DOI: 10.9734/jamcs/2025/v40i92048

Page: 116-126

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Comparative Evaluation of Hard and Soft Clustering for Precise Brain Tumor Segmentation in MR Imaging

Dibya Jyoti Bora, Mrinal Kanti Mishra

DOI: 10.9734/jamcs/2025/v40i92050

Page: 127-141

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On Coefficient Inequalities of Certain Subclasses of Bi-Univalent Functions Defined Using q-Differential Operator Involving q-Poisson Distribution

Ranjan S. Khatu, Santosh D. Jadhav, Renu P. Pathak

DOI: 10.9734/jamcs/2025/v40i92051

Page: 142-150

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Mathematical Modeling of Tuberculosis Dynamics in Care Institutions a Perspective of Variance in Treatment

Kavoyo Kyalo, Ngari Charles, Jomba Jason

DOI: 10.9734/jamcs/2025/v40i92052

Page: 151-175

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On the Zeros of Linear Factors of Cyclotomic Polynomials Over Galois Fields

John Joseph O. Ondiany, Lao Hussein Mude

DOI: 10.9734/jamcs/2025/v40i92053

Page: 176-184

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Mathematical Modeling of HIV/AIDS Dynamics in Relation to Drug Abuse

Dolphine Mochere, Caroline Kanyiri, Damian Maingi

DOI: 10.9734/jamcs/2025/v40i92054

Page: 185-205

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