iosr-Jm   Volume-17 ~ Issue-2 ~ Mar. – Apr. 2021

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Abstract: An extended trapezoidal rule of second kind (ETR2) block method has been developed in this paper. Using the multi-step collocation approach, a single block method for step-number, has been derived. The error constant of the new block method has been computed and was found to be of fourth order. Some second order initial value problems of ordinary differential equations were solved directly, using the new block method. The absolute errors obtained from the new block method competes favorably to some extend with other comparable block methods. The construction and implementation of the new block method was of few hitches

Keywords: Block method, Second order Ordinary Differential Equations, Initial Value Problems, Extended Trapezoidal Rule of Second kind

[1]. Ra'ft Abdelrahim, and Zurni Omar: Direct Solution of Second-Order Ordinary Differential Equation Using a Single-Step Hybrid Block Method of Order Five. Mathematical And Computational Applications, 21(12), (2016).
[2]. Awari Y. S.: 6343 Some Generalized Two-Step Block Hybrid Numerov Method for Solving General Second Order Ordinary Differential Equations without Predictors. Science World Journal. 12(4), (2017).
[3]. E.O. Adeyefa, F.L. Joseph and O.D. Ogwumu: Three-Step Implicit Block Method for Second Order Odes. International Journal of Engineering Science Invention ISSN (Online), 3(2), (2014) 34-38.
[4]. L. A. Ukpebor: A 4-Point Block Method for Solving Second Order Initial Value Problems in Ordinary Differential Equations. American Journal of Computational and Applied Mathematics, 9(3), (2019) 51-56.
[5]. Zurni OMAR and John Olusola KUBOYE: A New Implicit Block Method for Solving Second Order Ordinary Differential Equations Directly. Gazi University Journal of Science (GUJ Sci). 28(4), (2015) 689-694

Abstract: The need for domestic banks in Nigeria to be globally competitive, meet contemporary customers demand and key into the monetary authority's cashless policy led to the upsurge of electronic banking products and gadgets in the country. However, the effect of products features of electronic banking on customers' satisfaction needed to be investigated as lots of inefficiency issues have been raised on the credibility of electronic banking products on customers' satisfaction. Consequently, this study examined the effect of electronic banking on customer's satisfaction in Akure, Ondo State.
Questionnaire was used to collect relevant.......

Keywords: Binary logistic regression, customers loyalty, customers satisfaction, electronic banking

[1]. Abaenewe, Z.C., Ogbulu, O.M. & Ndugbu, M.O. (2013). Electronic banking and bank performance in Nigeria. West African Journal of Industrial & Academic Research, 6(1), 171 -187.
[2]. Akpan, S.J. (2016). The influence of atm service quality on customer satisfaction in the banking sector of Nigeria. Global Journal of Human Resource Management, 4(5), 65-79.
[3]. Babatunde, M.O. & Salawudeen, M.O. (2017). Analysis of the impact of electronic banking on customers' satisfaction in Nigeria. Greener Journal of Business and Management Studies, 7(3), 30-42.
[4]. Bambore, P.L. (2013). Customer satisfaction and electronic banking service on some selected banks of Ethiopia. International Journal of Research in Computer Application & Management, 3: 1-33.

Abstract: Mathematical modeling technique is used to measure "Growth of Corona Virus" in the society. The purpose of this study of growth of Corona Virus in the society is to give tentative prediction about this dangerous killer. Then it will be destroyed completely from the society. Therefore, the main purpose is, 'Escape peoples from Corona Virus19 and they will live freely, happily in the society of any country of the world.

Keywords: mathematical thinking, covid mentality, modeling, virus ineffectuality, applicability

[1]. Matti Heilio (2009); Mathematics for Society, Industry and Innovation, Journal of Mathematical Modeling and Application, Vol.1, No.1, 77-88
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[3]. Schoenfeld A. H. (1994). Mathematical Thinking and Problem Solving. Hillsdale: Erlbaum
[4]. Dr. Sayaji Rastum Waykar (2016), A Study of Mathematical Model for Corruption and its Control, India: IndCat , https://indcat.inflibnet.ac.in/ ; http://hdl.handle.net/10603/130777
[5]. Khondoker Nazmoon Nabi (2020), Forecasting COVID-19 Pandemic: A data-driven Analysis, Preprint submitted to Chaos, Solitons and Fractals, (BUET), Bangladesh.

Abstract: Glaring neglect of policy as presented in the national policy on education that requires teachers to make instruction concept and skill centered illustrates a major way in which standards are often compromised in the tertiary institution learning system. The focus is on teaching mathematical topics through problem-solving contexts and inquiry-oriented environments which are characterized by the teacher helping students conduct a deep understanding of mathematical ideas and processes by engaging them in doing mathematics. The study was carried out using a sample size of 350 students of a tertiary institution in Nigeria. It was a non-equivalent quasi-experimental study that was guided by three hypotheses. Problem Solving Mathematics Achievement test (PSMAT) instrument with a reliability coefficient......

Keywords: Problem-solving, Skills, Cognitive, Polya, Retentive, Creativity

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[5]. Eng, C.S. (2001). Problem Based Learning-Educational Tool or Philosophy. University of Newcastle, Australia.[Online] Available: http://edweb.sdsu.edu/clrit/learning tree/PBL/PBLadvantages.html.

Abstract: The paper provides preliminary work for obtaining suitable polynomials with a verified value of approximating the error. Ideally, the residual term gives you the exact difference between the function value and the approximation . However, since the value of is uncertain, the remaining term actually provides a worst-case scenario of your approximation.
The investigation focuses on the remaining three methods of inferring the value of the constant ; One is based on a Cauchy representation and the other uses the Lagrangian and Chebyshev polynomial basis. We compare the quality of the residues obtained and the performance of the methods with that provided by Taylor's models with the new .

Keywords: Error, Remainder, Lagrange's Remainder, Chebyshev Remainder, Cauchy's Remainder

[1]. Amparo G, Javier S, and Nico T., "Numerical Methods for Special Functions", Society for Industrial and Applied Mathematics, 2007, USA.
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[3]. Blumenthal, L. M., "Concerning the Remainder Term in Taylor's Formula", Amer. Math. Monthly 33, 424-426, 1926.
[4]. Brisebarre N., Jolde M., "Chebyshev Interpolation Polynomial-based Tools for Rigorous Computing", LIP, Arénaire NRS/ENSL/INRIA/UCBL/Université de Lyon 46, allée d'Italie, 69364 Lyon Cedex 07, France, 2010.
[5]. Darah A., "Mixed: Lagrange's and Cauchy's Remainders Form ", International Journal of Science and Research (IJSR) ISSN: 2319-7064, 2020.

Abstract: In the financial sector, credit risk and financial modeling have been widely explored in practice, establishing particular scale characterization through pre-existing models and now the introduction of machine learning approaches. Our investigation is to generate a prediction model on a "Give Me Some Credit" dataset from Kaggle to help understand credit scoring and potential patterns of delinquency. Using various analytical models based on machine learning methods, risk levels of future credit loans are identified by accurately predicting the probability of an individual experiencing future financial distress. The results of data analysis in terms of the accuracy and the quality of the classifier.......

Keywords: Credit scoring; data analysis; financial distress; machine learning

[1]. Chen, L.-P., Zhang, Q., Yi, G. Y., and He, W. (2021). Model-based forecasting for Canadian COVID-19 data. PLOS ONE, 16(1): e0244536. DOI: 10.1371/journal.pone.0244536.
[2]. Chen, L.-P. (2020). Using machine learning algorithms on prediction of stock price. Journal of Modeling and Optimization, 12, 84-99. DOI: 10.32732/jmo.2020.12.2.84
[3]. Chen, L.-P. (2020). Artificial Intelligence for Drug Development, Precision Medicine, and Healthcare by Mark Chang. Biometrics, 76, 1392-1394. DOI: 10.1111/biom.13390
[4]. Chen, L.-P. (2020), Model-based clustering and classification for data science: With applications in R Bouveyron, Charles Celeux, Gilles Murphy, T. Brendan Raftery, Adrian E. (2019). New York, NY: Cambridge University Press. 446 pages. CDN$91.95 (hardback). ISBN: 9781108494205. Biometrical Journal, 62: 1120-1121. DOI: 10.1002/bimj.201900390
[5]. Chen L.-P. (2019). Mehryar Mohri, Afshin Rostamizadeh, and Ameet Talwalkar: Foundations of machine learning, second edition. Statistical Papers, 60, 1793–1795. DOI: 10.1007/s00362-019-01124-9

Abstract: We have formulated Bianchi Type VI0 cosmological model in f ( R ) theory of gravity, relating to the stiff fluid energy momentum tensor utilizing power law with Lagrangian be the self-assertive function of Ricci scalar. To tackle the field equations, we have utilized energy momentum tensor with anisotropic stiff fluid EoS.   p . We discover the flight for the current model from the standard ΛCDM model according to the advancement of j ( t ) . We have assessed some essential cosmological physical and kinematical amounts for this model alongside his graphical conduct .

Keywords: Stiff Fluid, Bianchi Type-VI0 model, f ( R ) Gravity

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