Dr. Benedict Barnes

Senior Lecturer

Dept: Mathematics
college of science, second floor
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Publications

    https://orcid.org/my-orcid?orcid=0000-0002-0580-5655#:~:text=https%3A//orcid.org,0002%2D0580%2D5655

    https://scholar.google.com/citations?user=t0AOlUMAAAAJ&hl=en

     

    https://www.researchgate.net/settings/privacy#:~:text=https%3A//www.researchgate.net/profile/Benedict%2DBarnes

     

    1. Francis Tuffour , Benedict Barnes , Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah. (2025)

    The Modified Homogeneous Balance Methods for solving Korteweg–DeVries equations.

     https://doi.org/10.1016/j.padiff.2024.101035

     

    1. Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi & Kwaku

    Forkuoh Darkwah. (2025)

    Solving system of nonlinear fractional partial differential equations by fractional semi-separation of variables method.

     

     https://doi.org/10.1080/27684830.2025.2476871

     

    1. Isaac Addai , Henry Kwasi Asiedu , Benedict Barnes (2025).

    The exact solution of the composite fractional differential equation, Chaos, Solitons and Fractals 195 (2025) 116288.

     https://doi.org/10.1016/j.chaos.2025.116288

     

    1. Vivian Osei-Buabeng, Frimpong Albert Attakora and Benedict Barnes (2024).

    Mathematical modeling of the epidemiology of Corona Virus Infection with constant spatial

    diffusion term in Ghana, Research Paper

    Computational Methods for Differential Equations.

     

    1. Isaac Addai , Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah (2024).

    Modified Fractional Power Series Method for solving fractional partial differential equations, Scientific African. www.elsevier.com/locate/sciaf

     

     https://doi.org/10.1016/j.sciaf.2024.e02467

     

    1. Asambo Awini Wilbert, Mohammed Muniru Iddrisu , Benedict Barnes (2024).

    Convexity Properties in Non-Newtonian Calculus and Their Applications, Eur. J. Math. Anal. 4 (2024) 19

    doi: 10.28924/ada/ma.4.19

     https://doi.org/10.28924/ada/ma.4.19

     

     

     

     

    1. Barnes, B., Anokye, M., Iddrisu, M. M., Gawu, B., & Afrifa, E. (2023). The Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection. Advances in Mathematical Physics. https://doi.org/ 10.1155/2023/5578900

    8., Anokye, M., Barnes, B. Ohene Boateng, F., Adom-Konadu, A., & Amoah-Mensah, J. (2023). Price Dynamics of a Delay Differential Cobweb Model. Discrete Dynamics in Nature and Society. https://doi.org/10.1155/2023/1296562

    1. Barnes, B., Takyi, I., Ackora-prah, J., Hughes, G., & Baidoo, E. S. (2023). The Mathematical Model for Marital Interactions in Ghana. Scientific African, e01449. https://doi.org/10.1016/j.sciaf.2022.e01449

    10.Takyi, I., Gyampoh, S., Barnes, B., & Okyere, G. A. (2022). Kink Collision in the Noncanonical φ6 Model: A Model with Localized Inner Structures. arXiv. https://doi.org/10.1016/j.rinp.2022.106197

    1. Barnes, B., Ackora-Prah, J., Boateng, F. O., & Amanor, L. (2022). Mathematical modelling of the epidemiology of COVID-19 infection in Ghana. Scientific African, 15, e01070. http://www.elsevier.com/locate/sciaf
    2. Ackora-Prah, J., Acheson, V., Barnes, B., Takyi, I. & Owusu-Ansah, E. (2022). A Two-Phase Method for Solving Transportation Models with Prohibited Routes. Pak.j.stat.oper.res. Vol.18 No.3 2022 pp 749-758. https://doi.org/10. 18187/pjsor. v18i3.3911

    13.Takyi I., Barnes B., Tornyeviadzi H. M., Ackora-Prah J. 2022. Scattering of kinks in noncanonical sine-Gordon Model.  Turkish Journal of Physics vol. 46 (1), pp. 37-50  https://doi.org/10.48550/arXiv.2111.01051

    1. Barnes, B., Takyi, I., Owusu, B. E., Boateng, F. O., Saahene, A., Baidoo, E. S. & Adombire, J. A. (2022). Mathematical Modelling of the Spatial Epidemiology of COVID-19 with Different Diffusion Coefficients. International Journal of Differential Equations Volume 2022, Article ID 7563111 https://doi.org/ 10.1155/2022/7563111
    2. Barnes, B., Addai, I., Boateng, F. O., & Takyi, I. (2022). Solving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi-Reversibility Regularization Method. Journal of Mathematics. https://doi.org/ 10.1155/2022/5336305
    3. Wireko, F. A., Barnes, B., Sebil, C., & Ackora-Prah, J. (2021). The Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems. Journal of Applied Mathematics. https://doi.org/10.1155/2021/4373290
    4. Boateng, F. O., Ackora-Prah, J., Barnes, B., & Amoah-Mensah, J. (2021). A Finite Difference Fictitious Domain Wavelet Method for Solving Dirichlet Boundary Value Problem. European Journal of Pure and Applied Mathematics, 14(3), 706-722. https://orcid.org/0000-0003-0197-7385
    5. Takyi, I., Barnes, B., & Ackora-Prah, J. (2021). Vacuum polarization energy of the kinks in the sinh-deformed models. Turkish Journal of Physics, 45(4), 194-206. https://doi.org/10.48550/arXiv.2012.12343
    6. Barnes, B., Boateng, F. O., Sebil, C., & Owusu, E. (2020). Mathematical Modeling of Wastes Pile-Up in Kwadaso Municipality in Ashanti, Ghana. European Journal of Pure and Applied Mathematics, 13(4), 893-913. http://orcid.org/0000-0002-0580-5655
    7. Selormey, G. K., Barnes, B., Awafo, E. A., Kemausuor, F., & Darkwah, L. (2022). Development of mathematical model for predicting methane-to-carbon dioxide proportion in anaerobic biodegradability of cattle blood and rumen content. Energy Conversion and Management: X, 16, 100250. https://link.springer.com /journal/11157
    8. Barnes, B., Aidoo, A. Y. & Ackora-Prah, J. (2022). Using a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation. Abstract and Applied Analysis Volume 2022, Article ID 4628634. https://doi.org/10.1155/2022/4628634
    9. Selormey, G. K., Barnes, B., Kemausuor, F., & Darkwah, L. (2021). A review of anaerobic digestion of slaughterhouse waste: effect of selected operational and environmental parameters on anaerobic biodegradability. Reviews in Environmental Science and Bio/Technology, 20(4), 1073-1086. https://doi.org/10.1007/s11157-021-09596-8
    10. Barnes, B., Adjei I. A. & Sebil, C. (2019). The Mathematical modelling of Refuse Build up on the University Campus: A case study of KNUST campus. European Journal of Pure and Applied Mathematics. Vol. 12(4), pp. 1420-1440. https://doi. org/10.29020/nybg.ejpam.v12i4.3546
    11. Barnes, B., Sebil, C., & Dontwi, I. K., (2019). The Quotient Inequalities. European Journal of Pure and Applied Mathematics. Vol. 12(2), pp. 469-485. https://doi.org /10.29020/nybg.ejpam.v12i2.3384
    12. Owusu-Ansah, E. D. J, Barnes, B., Abaidoo, R., Tine, H., Dalsgaard, A., Permin, A. & Schou, T. W. (2019). Probabilistic Modelling for an Integrated 7 Temporary Acquired Immunity with Norovirus Epidemiological Data. Infectious Disease Modelling. Vol. 4, pp. 99-114. https://doi.org/10.1016/j.idm.2019.04.005
    13. Barnes, B., Owusu-Ansah, E. D. J., Amponsah, S. K. & Sebil, C. (2018). The Proofs of Product Inequalities in a Generalized Vector Space. European Journal of Pure and Applied Mathematics. Vol. 11(2), pp. 375-389. https://doi.org/10.29020/nybg .ejpam.v11i2.3209
    14. Barnes, B., Sebil, C. & Quaye, A. (2018). A Generalization of Integral Transform. European Journal of Pure and Applied Mathematics. Vol. 11(4), pp. 1130-1142. https://doi.org/10.29020/nybg.ejpam.v11i4.3330
    15. Barnes, B., Owusu-Ansah, E. D. J., Amponsah, S. K. & Adjei, I. A. (2018). The Proofs of Triangle Inequalities using the Binomial Inequalities. European Journal of Pure and Applied Mathematics. Vol. 11(1), pp. 352-361. https://doi.org/10 .29020/nybg.ejpam.v11i1.3165
    16. Barnes, B., Harris, E., Darkwah, N. F. & Hughes, G. (2018). The Proofs of the Arithmetic-Geometric Mean Inequality through both the Product and Binomial Inequalities. European Journal of Pure and Applied Mathematics. Vol. 11(4), pp. 1100-1107. https://doi.org/10.29020/nybg.ejpam.v11i4.3300
    17. Barnes, B., Adjei, I. A., Sebil, C. & Harris, E. (2018). The Product Normed Linear Space. European Journal of Pure and Applied Mathematics. Vol. 11(3), pp. 740-750. https://doi.org/10.29020/nybg.ejpam.v11i3.3284
    18. Barnes, B., Boateng, F. O., Amponsah, S. K. & Osei-Frimpong, E. (2017). On the Notes of Quasi-Boundary Value Method for Solving Cauchy-Dirichlet Problem of the Helmholtz Equation. British Journal of Mathematics & Computer Science. Vol. 22(2), pp. 1-10. https://doi.org/10.9734/BJMCS/2017/32727
    19. Barnes, B., Sebil, C. & Harris, E. (2018). A Note on the Quasi-Normed Linear Space. Advances in Theoretical and Applied Mathematics. Vol. 13(2), pp. 107- 114. http://www.ripublication.com/atam.htm
    20. Barnes, B., Harris, E., Abaitey, C. & Amponsah S. K. (2018). Construction of Symmetric Matrices using the Odd and Even Matrices. Asian Journal of Mathematics and Computer Research. Vol. 25(4), pp. 219-225. ISSN: 2395-4205 (P), ISSN: 2395-4213 (O)
    21. Barnes, B., Owusu-Ansah, E. D. J., Amponsah, S. K. & Agyare, C. (2017). Diagonal Rearrangement Method for Evaluating the 3 × 3 Matrix. Asian Journal of Mathematics and Computer Research. Vol. 21(2), pp. 87-97. SSN: 2395-4205 (P), ISSN: 2395-4213 (O
    22. Barnes, B., Osei-Frimpong, E., Ackorah-Prah, J. & Amponsah, S. K. (2016). Convex Regularization Method for Solving Cauchy Problem of the Helmholtz Equation. Mathematical Theory and Modelling. Vol. 6(11), pp. 63-74. www.iiste.org
    23. Barnes, B., Osei-Frimpong, E., Boateng, F. O. & Ackora-Prah, J. (2016). A Two-Dimensional Chebyshev Wavelet Method for Solving Partial Differential Equations. Mathematical Theory and Modelling. Vol. 6(8), pp. 124-138. ISSN 2225-0522
    24. Barnes, B. (2016). Polynomial Integral Transform for Solving Differential Equations. European Journal of Pure and Applied Mathematics. Vol. 9(2), pp. 140-151. ISSN 1307-5543 – www.ejpam.com
    25. Obeng-Denteh, W., Afrifa, R. T., Barnes, B. & Addo, K. M. (2014). Modelling the Epidemiology of Human Papilloma Virus Infection and Vaccination and Its Impact on Cervical Cancer in Ghana. Journal of Scientific Research & Reports. Vol. 3(19), pp. 2501-2518. https://doi.org/10.9734/JSRR/2014/11019
    26. Esson, A. B., Obeng-Denteh, W., Barnes, B. & Ntherful, G. E. (2014). Vaccination Dynamics of Chickenpox in Agona West Municipality of Ghana. British Journal of Mathematics & Computer Science. Vol. 4(14), pp. 2036-2045. https://doi.org/1 0.9734 /BJMCS/2014/7883
    27. Owusu-Ansah, E. D. J, Barnes, B., Donkoh, E. K., Papa, J., Effah, B. & Nartey, M. M. (2019). Quantifying Economic Risk: An Application of Extreme Value Theory for Measuring Fire Outbreaks Financial Loss. Financial Mathematics and Applications. Vol. 4(1), pp. 1-12. : www.ilirias.com/fmaa
    28. Esson, A. B., Obeng-Denteh, W., Barnes, B. & Ntherful, G. E. (2014). Epidemiology of Chickenpox in Agona West Municipality of Ghana. Physical Sciences Research International. Vol. 2(1), pp. 6-11. www.sciencedomain.org

     

    1. Barnes, B., Aidoo, A. Y., Darkwah, K. F. & Osei-Frimpong, E. (2013). Mathematical Analysis of the Impact of Vaccination in the Spread of Diseases in a Large Susceptible Population. Open Science Repository Mathematics. http://dx.doi.org/10.7392/openaccess.23050423
    2. Barnes, B., Aidoo, A. Y., Osei-Frimpong, E. & Darkwah, K. F. (2012). A Note on the Spread of Infectious Diseases in a Large Susceptible Population. International Mathematical Forum. Vol. 7(50), pp. 2481-2492. https://www.resea rchgate.net/ publication/267367608_A_Note_on_the_Spread_of_InfectiousDiseases_in _a_Large_Susceptible_Population

     

    List of book written

    • A Finite Difference Fictitious Domain Wavelet Method for Solving Dirichlet Boundary Value Problem, Francis Ohene Boateng, Joseph Ackora-Prah, Benedict Barnes, John Amoah – Mensah, 2021, print ISBN: 978-93-90768-07-3, eBook ISBN: 978-93-90768-08-0

     

     

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