Analysis Of Nonlinear Models For The Acceleration Of Increasing HDI In Asia
[Full Text]
AUTHOR(S)
Habib Ratu Perwira Negara, Syaharuddin, Kiki Riska Ayu K, Habibi RPN
KEYWORDS
Numerical Solution, HDI, Holt Method, Forecasting.
ABSTRACT
Exponential is a nonlinear function. We do numerical calculations to find exponential nonlinear functions in the acceleration of increasing HDI data in Asia. We have used HDI data from 20052017 from 30 countries which are divided into three categories namely developed countries, developing countries and underdeveloped countries. From these data we determine the average of each category then forecast for the next period using the double exponential type Holt method. Based on the simulation results using the GUI of MATLAB, we get information is obtained that HDI developed countries have an average of 0.86257 with a mathematical model y= 0.8027e0.0052x; developing countries have an average of 0.71588 with a mathematical model y = 0.6505e0.0069x; and underdeveloped countries an average of 0.60344 with a mathematical model y = 0.4986e0.0137x. So, the highest increase is in the underdeveloped category, which is 3,020. On the other hand, the GUI of MATLAB provides simulation techniques and a fairly accurate numerical solution.
REFERENCES
[1] AlJawary, M.A. (2017) “A SemiAnalytical Iterative Method for Solving Nonliniear thin Film Flow Problems”, Chaos Solitions & Fractals. 99, pp. 5256
[2] Chen, X. D., Zhang Y. dan Wang, Y. (2016) “An Efficient Method Based on Progressive Interpolation for Solving NonLiniear Equations”, Applied Mathematics Letters, pp. 6772.
[3] Gupta K. D., dan Srivastava, S. (2015) “An Iterative Method for Solving General Restricted Linear Equations”, Applied Mathematics and Computation. 262, pp. 344353.
[4] Javidi, M., dan Golbabai A. (2007), NewtonLike Iterative Methods for Solving System of NonLinear Equations” Applied Mathematics and Computation, 192 (2), pp. 546551.
[5] Jiehua Wu, Guoji Zhang, Yazhou Ren. (2017) “A balanced modularity maximization link prediction model in social networks”, Information Processing & Management, 53 (1), pp. 295307
[6] J. J. Yang, X. Zhu. (2017) “Adapting Urban Water Utilities to Climate Uncertainties: A Case Study of Wuhan, PRC”, Procedia Engineering, 198, pp. 496510
[7] Lalu Sucipto and Syaharuddin. (2018) “Konstruksi Forecasting System MultiModel untuk pemodelan matematika pada peramalan Indeks Pembangunan Manusia Provinsi Nusa Tenggara Barat”, Register: Jurnal Ilmiah Teknologi Sistem Informasi, 4 (2), pp. 114124
[8] Małgorzata Świerczyńska, Bartłomiej Miziński, Tomasz Niedzielski. (2016) “Comparison of predictive skills offered by Prognocean, Prognocean Plus and MyOcean realtime sea level forecasting systems”, Ocean Engineering, 113, pp. 4456.
[9] Noor, A. M., Waseem, M., dan Noor, I. K. (2015) “New Iterative technique for Solving a Siystem of Nonlinear Equations”. Applied Mathematics and Computation, 271, pp. 446466.
[10] Kryshchuk, M. dan Lavendels, J. (2017) “Interative Method for Solving a System of Liniear Equations”, Procedia Computer Science, 104, pp. 133137.
[11] Paul Scholefield, Les Firbank, Simon Butler, Ken Norris, Sandrine Petit. (2011) “Modelling the European Farmland Bird Indicator in response to forecast landuse change in Europe”, Ecological Indicators, 11 (1), pp. 4651.
[12] Perez, O., Amaya, I., dan Correa, R. (2013) “Numerical Solution of Certain Exponential and NonLinier Diophantine Systems of Ewuation by Using a Discrete Particle Swarm Optimization Algorithm”, Applied Mathematics and Computation, 225, pp. 737746.
[13] Rifai and Irzani. (2012) “Analisis dan Komputasi Metode Numerik”, Banjarnegara: Sukses Mandiri Press.
[14] Viktoria Bazzhina. (2015) “Labour Activity as a Factor of Social, Economic and Emotional Wellbeing of the Population”, Procedia  Social and Behavioral Sciences, 166 (1), pp. 7481
[15] Zhang, J. dan Dai H. (2017) “A New Iterative method for solving complex symmetric liniear systems” Applied Mathematics and Computation, 302, pp. 920
