Dr. Murat Sari
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Dr. Murat Sari

Professor
Department of Mathematics, Yildiz Technical University, Turkiye

Highest Degree
Ph.D. in Applied Mathematics from University of South Wales, U.K.

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Area of Interest:

Business Management and Accounting
100%
Economic-Mathematical Models
62%
Mathematics Applications
90%
Mathematical Biology
75%
Applied Economics
55%

Research Publications in Numbers

Books
1
Chapters
8
Articles
98
Abstracts
39

Selected Publications

  1. Sari, M., T. Cosgun, I.E. Yalcin, M. Taner and I.I. Ozyigit, 2022. Deciding heavy metal levels in soil based on various ecological information through artificial intelligence modeling. Appl. Artif. Intell., Vol. 36. 10.1080/08839514.2021.2014189.
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  2. Sari, M. and S. Gulen, 2022. Valuation of the American put option as a free boundary problem through a high-order difference scheme. Int. J. Nonlinear Sci. Numer. Simul., 23: 1001-1015.
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  3. Gulen, S. and M. Sari, 2022. A Fréchet derivative-based novel approach to option pricing models in illiquid markets. Math. Methods Appl. Sci., 45: 899-913.
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  4. Tunç, H. and M. Sari, 2021. A new implicit-explicit local differential method for boundary value problems. Turk. J. Math., 45: 742-766.
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  5. Tunc, H. and M. Sari, 2021. A stability preserved time-integration method for nonlinear advection-diffusion-reaction processes. J. Math. Chem., 59: 1917-1937.
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  6. Tahir, S.A. and M. Sari, 2021. Simulations of nonlinear parabolic PDEs with forcing function without linearization. Math. Slovaca, 71: 1005-1018.
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  7. Sari, M., A. Ahmad and H. Uslu, 2021. Medical model estimation with particle swarm optimization. Commun. Fac. Sci. Univ. Ank. Ser. A Math. Stat., 70: 468-482.
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  8. Sari, M. and S.A. Tahir, 2021. Synchronization of the nonlinear advection-diffusion-reaction processes. Math. Methods Appl. Sci., 44: 11970-11984.
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  9. Belaghi, M. and M. Sari, 2021. Behaviour of the first-order q-difference equations. Int. J. Optim. Control Theor. Appl., 11: 68-74.
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  10. Uslu, H., M. Sari and T. Cosgun, 2020. Qualitative behavior of stiff ODEs through a stochastic approach. Int. J. Optim. Control, Theor. Appl., Vol. 10. 10.11121/ijocta.01.2020.00829.
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  11. Uslu, H. and M. Sarı, 2020. Monte Carlo based stochastic approach for first order nonlinear ODE systems. Pamukkale J. Eng. Sci., 26: 133-139.
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  12. Tunc, H. and M. Sari, 2020. Simulations of nonlinear advection-diffusion models through various finite element techniques. Sci. Iran., 27: 2853-2870.
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  13. Cosgun, T. and M. Sari, 2020. Traveling wave solutions and stability behaviours under advection dominance for singularly perturbed advection-diffusion-reaction processes. Chaos, Solitons Fractals, Vol. 138. 10.1016/j.chaos.2020.109881.
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  14. Cosgun, T. and M. Sari, 2020. Traveling wave solutions and stability behaviours under advection dominance for singularly perturbed advection-diffusion-reaction processes. Chaos, Solitons Fractals 10.1016/j.chaos.2020.109881.
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  15. Tunc, H. and M. Sari, 2019. A local differential transform approach for the cubic nonlinear Duffing oscillator with damping term. Scientia Iranica, 26: 879-886.
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  16. Sari, M., S.H. Mussa and H. Tunc, 2019. A higher order compact scheme for the nonlinear advection diffusion processes. Procee. Inst. Math. Mech., 45: 295-310.
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  17. Gülbandılar, E., M. Sarı and A. Cımbız, 2019. A decision support system for fall risk through biomechanical characteristics: A strikingapplication. AKU-J. Sci. Eng., 18: 486-494.
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  18. Gurbuz, F., 2019. On the behaviors of rough fractional type sublinear operators on vanishing generalized weighted Morrey spaces. Int. J. Anal. Applic., 17: 440-447.
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  19. Gulen, S., C. Popescu and M. Sari, 2019. A new approach for the black–scholes model with linear and nonlinear volatilities. Mathematics, Vol. 7. 10.3390/math7080760.
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  20. Gulbandila, E., M. Sari and N. Dalkilic, 2019. Risk assessment with decision tree in professional liability insurance: In accounting. J. Artificial Intelligence, 12: 18-23.
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  21. Ahmad, A.A. and M. Sari, 2019. Anemia prediction with multiple regression support in system medicinal internet of things. J. Med. Imaging Health Inf., 10: 261-267.
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  22. Zeytinoglu, A., M. Sari and B.P. Allahverdiev, 2018. Numerical simulations of shock wave propagating by a hybrid approximation based on high-order finite difference schemes. Acta Phys. Pol. A, 133: 140-151.
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  23. Sari, M., C. Tuna and S. Akogul, 2018. Prediction of tibial rotation pathologies using particle swarm optimization and k-means algorithms. J. Clin. Med., Vol. 7. 10.3390/jcm7040065.
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  24. Sari, M. and H. Tunc, 2018. Finite element based hybrid techniques for advection-diffusion-reaction processes. Int. J. Optim. Control, Theor. Appl. (IJOCTA), 10.11121/ijocta.01.2018.00452.
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  25. Sari, M. and C. Tuna, 2018. Prediction of pathological subjects using genetic algorithms. Comput. Math. Methods Med., Vol. 2018. 10.1155/2018/6154025.
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  26. Erdogan, U., M. Sari and H. Kocak, 2018. Efficient numerical treatment of nonlinearities in the advection–diffusion–reaction equations. Int. J. Numer. Methods Heat Fluid Flow, 29: 132-145.
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  27. Al Tinoglu, F.F., M. Sari and A. Aydin, 2018. Shallow crust structure of the Büyük Menderes graben through an analysis of gravity data. Turkish J. Earth Sci., 27: 421-431.
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  28. Zeytinoglu, A., M. Sari and B.P. Allahverdiev, 2017. A hybrid approach for the regularized long wave-Burgers equation. Int. J. Optim. Control Theor. Appl., 8: 8-16.
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  29. Selim, S., G. Elver and M. Sari, 2017. Numerical behavior of singular two-point boundary value problems in a comparative way. Int. J. Optim. Control Theor. Appl., 7: 288-292.
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  30. Sari, M. and H. Tunc, 2017. An optimization technique in analyzing the Burgers equation Sigma. J. Eng. Nat. Sci., 35: 369-386.
  31. Gulbandilar, E., M. Sari and A. Cimbiz, 2015. Prediction of low back pain using a fuzzy logic algorithm. Am. J. Biomed. Sci. Eng., 1: 58-62.
  32. Altinoglu, F.F., M. Sari and A. Aydin, 2015. Detection of lineaments in denizli basin of Western Anatolia Region using bouguer gravity data. Pure Applied Geophys., 172: 415-425.
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  33. Sari, M., A. Sari and C. Popescu, 2014. Effects of imported goods on export and import of Turkey. Ann. Econ. Series, .
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  34. Sari, M., A. Gunay and G. Gurarslan, 2014. A solution to the telegraph equation by using DGJ method. Int. J. Nonlinear Sci., 17: 57-66.
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  35. Sari, A., M. Sari and C. Popescu, 2014. Effects of various economic factors on Turkish imports. Econ. Insights Trends Challenges, 3: 1-9.
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  36. Cimbiz, A., M. Sari and E. Gulbandilar, 2014. Analysis of skin resistance level on lumbar paravertebral area in low back pain patients J. Qafqaz Univ., 2: 139-145.
  37. Aydin, M., and M. Sari, 2014. Relationship between Gdp and export in Turkey. Ann. Econ. Series, .
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  38. Gurarslan, G., H. Karahan, D. Alkaya, M. Sari and M. Yasar, 2013. Numerical solution of Advection-diffusion equation using a Sixth-order compact finite difference method. Math. Problems Eng., Vol. 7. 10.1155/2013/672936.
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  39. Dag, I., D. Irk and M. Sari, 2013. The extended cubic B-spline algorithm for a modified regularized long wave equation. Chin. Phys. B, 22: 1-6.
  40. Adak, M., O. Sert, M. Kalay and M. Sari, 2013. Symmetric teleparallel gravity: Some exact solutions and spinor couplings. Int. J. Modern Phys. A, Vol. 28. 10.1142/S0217751X13501674.
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  41. Sari, M., E. Gulbandilar and A. Cimbiz, 2012. Prediction of Low Back Pain with Two Expert Systems. J. Med. Syst., 36: 1523-1527.
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  42. Sari, M., G. Gurarslan and A. Zeytinoglu, 2011. High-order finite difference schemes for the solution of the generalized Burger's-fisher equation. Int. J. Numer. Methods Biomed. Eng., 27: 1296-1308.
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  43. Sari, M., G. Gurarslan and A. Zeytinoglu, 2011. High-order finite difference schemes for numerical solution of the Burger's-Huxley equation. Numer. Methods Partial Differ. Equ., 27: 1313-1326.
  44. Sari, M., A. Gunay and G. Gurarslan, 2011. Approximate solutions of linear and nonlinear diffusion equations by using Daftardar-Gejji-Jafari's method. Int. J. Math. Modell. Numer. Optimisation, 2: 376-386.
  45. Sari, M., 2011. Differential quadrature solutions of the generalized Burgers–Fisher equation with a strong stability preserving high-order time integration. Math. Comput. Appl., 16: 477-486.
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  46. Sari, M. and G. Gurarslan, 2011. A sixth-order compact finite difference method for the one-dimensional sine-gordon equation. Int. J. Numer. Methods Biomed. Eng., 27: 1126-1138.
  47. Gurarslan, G. and M. Sari, 2011. Numerical solutions of linear and nonlinear diffusion equations by a Differential Quadrature Method (DQM). Int. J. Numer. Methods Biomed. Eng., 27: 69-77.
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  48. Tekkoyun, M. and M. Sari, 2010. Bi-para-mechanical systems on the bi-Lagrangian manifold. Physica B Condensed Matter, 405: 2390-2393.
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  49. Sari, M., G. Gurarslan and I. Dag, 2010. A compact finite difference method for the solution of the generalized Burgers-fisher equation. Numerical Methods Partial Differential Equations, 26: 125-134.
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  50. Sari, M., G. Gurarslan and A. Zeytinoglu, 2010. High-order finite difference schemes for solving the advection-diffusion equation. Math. Comput. Appl., 15: 449-460.
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  51. Cetiner, B.G., M. Sari and O. Borat, 2010. A neural network based traffic-flow prediction model. Math. Comput, Appli., 15: 269-278.
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  52. Cetiner, B.G. and M. Sari, 2010. Tibial rotation assessment using artificial neural networks. Math. Comput. Appl., 15: 34-44.
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  53. Canivar, A., M. Sari and I. Dag, 2010. A Taylor-Galerkin finite element method for the KdV equation using cubic B-splines. Physica B Condensed Matter, 405: 3376-3383.
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  54. Aburas, H.M., B.G. Cetiner and M. Sari, 2010. Dengue confirmed-cases prediction: A neural network model. Expert Syst. Appl., 37: 4256-4260.
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  55. Yucel, U. and M. Sari, 2009. Differential quadrature method (DQM) for a class of singular two-point boundary value problems. Int. J. Comput. Math., 86: 465-475.
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  56. Sari, M., O. Mutlu and A. Zeytinoglu, 2009. Effects of human and external factors on traffic accidents. Pet. Gas Univ. Ploiesti Bull. Math. Inf. Phys. Series, LXI: 9-17.
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  57. Sari, M., 2009. Solution of the porous media equation by a compact finite difference method. Math. Problems Eng., 10.1155/2009/912541.
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  58. Sari, M. and G. Gurarslan, 2009. Numerical solutions of the generalized Burgers-Huxley equation by a differential quadrature method. Math. Prob. Eng. 10.1155/2009/370765.
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  59. Sari, M. and G. Gurarslan, 2009. A sixth order compact finite difference scheme to the numerical solutions of Burgers equation. Applied Math. Comput., 208: 475-483.
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  60. Sari, M. and B.G. Cetiner, 2009. Predicting effect of physical factors on tibial motion using artificial neural networks. Expert Syst. Appli., 36: 9743-9746.
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  61. Sari, M., 2008. Differential quadrature method for singularly perturbed two-point boundary value problems. J. Applied Sci., 8: 1091-1096.
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  62. Gulbandilar, E., A. Cimbiz, M. Sari and H. Ozden, 2008. Relationship between skin resistance level and static balance in type II diabetic subjects. Diabetic Res. Clin. Practice, 82: 335-339.
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  63. Sari, M., 2007. Relationship between physical factors and tibial motion in healthy subjects: 2D and 3D analysis. Adv. Ther., 24: 772-783.
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  64. Oguz, E.O., E.S. Conkur and M. Sari, 2007. SHETEREOM I Simple Windows based software for stereology. Volume and Number Estimations Image Anal. Stereol., 26: 45-50.
  65. Sari, M. and I. Demir, 2006. Wave modelling through layered media using the BEM. J. Applied Sci., 6: 1703-1711.
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  66. Cimbiz, A., U. Cavlak, M. Sari, H. Hallaceli and F. Beydemir, 2006. A new clinical design measuring the vertical axial rotation through tibial shaft resulting from passive knee and subtalar joints rotation in healthy subjects: A reliability study. J. Med. Sci., 6: 751-757.
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  67. Sari, M., 2003. The time domain boundary element method for scalar wave problems. Pamukkale Univ. J. Eng. Sci., 9: 129-136.
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  68. Sari, M. and I. Demir, 2002. Acoustic wave modelling using two different numerical methods. J. Eng. Sci., 8: 211-217.