PUBLICATIONS

Articles Published in Journals That Entered SCI and SCI-E Indexes:

  1. Taylan Şengül, Burhan Tiryakioglu, The Effect of Nonlinearities With Arbitrary Order Derivatives on Dynamic Transitions, Mathematical Methods in the Applied Sciences, accepted.
  2. Taylan Şengül, Burhan Tiryakioglu and Esmanur Yıldız Akıl, First Transition Dynamics of Reaction-Diffusion Equations with Higher Order Nonlinearity, Studies in Applied Mathematics, 153 (3), e12735, 2024.
  3. Rab Nawaz, Aqsa Yaseen, Hani Alahmadi and Burhan Tiryakioglu, A Mode-Matching Analysis of Flexible Shells and Waveguides with Partitioning and Muffler Conditions, International Journal of Mechanics and Materials in Design, 20 (5), 1009-1028, 2024.
  4. Burhan Tiryakioglu, Analysis of Sound Transmission Loss in an Infinite Duct with Three Different Finite Lining, International Journal of Modern Physics B, 38 (28), 2450384, 2024.
  5. Messoud Efendiev, Taylan Şengül and Burhan Tiryakioglu, Two approaches to instability analysis of the viscous Burgers’ equation, Discrete & Continuous Dynamical Systems – S, 17 (4), 1621-1638, 2024.
  6. Taylan Şengül and Burhan Tiryakioglu, Interactions of (m,n) and (m+1,n) Modes with Real Eigenvalues: A Dynamic Transition Approach, Communications in Nonlinear Science and Numerical Simulation, 127, 107526, 2023.
  7. Burhan Tiryakioglu and Hülya Öztürk, Mode-Matching Analysis for Sound Propagation in a Cylindrical Duct with a Partial Lining, Acoustical Physics, 69 (4), 436-441, 2023.
  8. Burhan Tiryakioglu, Transmission Loss Analysis in an Infinite Tube with Multiple Discontinuities, Acoustical Physics, 69 (3), 303-308, 2023.
  9. Ayşe Tiryakioglu and Burhan Tiryakioglu, Acoustic Wave Radiation from a Coaxial Pipe with Partial Lining and Inner Perforated Screen, International Journal of Aeroacoustics, 22 (3-4), 278-292, 2023.
  10. Taylan Şengül and Burhan Tiryakioglu, Dynamic transitions and bifurcations of 1D reaction-diffusion equations: The Non-self-adjoint case, Journal of Mathematical Analysis and Applications, 523 (1), 127114, 2023.
  11. Burhan Tiryakioglu, Diffraction of Sound Waves from Cavity with Inner Lining and Wall Thickness, Acta Physica Polonica A, 141 (6), 602-607, 2022.
  12. Taylan Şengül and Burhan Tiryakioglu, Dynamic transitions and bifurcations of 1D reaction-diffusion equations: The Self-adjoint case, Mathematical Methods in the Applied Sciences, 45 (5), 2871-2892, 2022.
  13. Burhan Tiryakioglu, Radiation of Sound by a Coaxial Waveguide with Semi Infinite Perforated Duct, Waves in Random and Complex Media, 32 (2), 529-540, 2022.
  14. Burhan Tiryakioglu, Sound Radiation from Non-Uniformly Lined Duct with Partial Rigidity, Computational Mathematics and Mathematical Physics, 61 (12), 2118-2128, 2021.
  15. Burhan Tiryakioglu and Ayşe Tiryakioglu, Radiation of Sound Waves from a Coaxial Duct with Perforated Screen, IMA Journal of Applied Mathematics, 86 (4), 828-844, 2021.
  16. Burhan Tiryakioglu, Mode Matching Analysis of Sound Waves in an Infinite Pipe with Perforated Screen, Acoustical Physics, 66 (6), 580-586, 2020.
  17. Hülya Öztürk and Burhan Tiryakioglu, Radiation of Sound from a Coaxial Duct formed by a Semi-Infinite Rigid Outer Cylinder and Infinite Inner Cylinder Having Different Linings, Archives of Acoustics, 45 (4), 655-662, 2020.
  18. Burhan Tiryakioglu, Radiation of Acoustic Waves by a Partially Lined Pipe with an Interior Perforated Screen, Journal of Engineering Mathematics, 122 (1), 17-29, 2020.
  19. Burhan Tiryakioglu, Diffraction of Sound Waves by a Lined Cylindrical Cavity, International Journal of Aeroacoustics, 19 (1-2), 38-56, 2020.
  20. Burhan Tiryakioglu, Radiation of Sound Waves by a Semi Infinite Duct with Outer Lining and Perforated End, Archives of Acoustics, 45 (1), 77-84, 2020.
  21. Burhan Tiryakioglu, Analysis of Ring Sourced Diffraction with Rigid and Impedance Boundary Condition, U.P.B. Sci. Bull., Series-A Applied Mathematics and Physics, 81 (4), 331-340, 2019.
  22. Burhan Tiryakioglu, Sound Radiation from the Perforated End of a Lined Duct, Acta Acustica united with Acustica, 105 (4), 591-599, 2019.
  23. Burhan Tiryakioglu and Ahmet Demir, Sound Wave Radiation from Partially Lined Duct, Archives of Acoustics, 44 (2), 239-249, 2019.
  24. Burhan Tiryakioglu and Ahmet Demir, Radiation Analysis of Sound Waves from Semi-Infinite Coated Pipe, International Journal of Aeroacoustics, 18 (1), 92-111, 2019.

Articles Published in Other Journals:

  1. Burhan Tiryakioglu, Diffraction of Sound from Semi-Infinite Perforated and Semi-Infinite Coated Duct with Ring Source, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 73 (3), 588-603, 2024.
  2. Burhan Tiryakioglu and Hülya Öztürk, Radiation of Sound Waves by Semi-Perforated Duct, Journal of Interdisciplinary Mathematics, 25 (8), 2289-2300, 2022.
  3. Burhan Tiryakioglu, The Effect of Semi Perforated Duct on Ring Sourced Acoustic Diffraction, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70 (2), 1073-1084, 2021.
  4. Burhan Tiryakioglu, Sound Wave Diffraction by a Cavity with Partial Lining, Mathematical Sciences and Applications E-Notes, 8 (1), 123-133, 2020.
  5. Burhan Tiryakioglu, A Note on Ring Source Over Semi-Infinite Rigid Pipe, International Journal of Advances in Engineering and Pure Sciences, 31 (2), 133-139, 2019.
  6. Burhan Tiryakioglu and Ahmet Demir, Wiener-Hopf Analysis of Sound Waves by a Rigid Cylindrical Pipe with External Impedance Surface, International Journal of Mathematical Models and Methods in Applied Sciences, 9, 558-565, 2015.

International Conference Proceedings:

  1. Burhan Tiryakioglu, Dynamic Transitions in Reaction-Diffusion Equations with Quadratic and Cubic Order Nonlinearity, 5th International Eurasian Conference on Science, Engineering and Technology (EurasianSciEnTech-2024), Ankara, Turkey, 2024.
  2. Esmanur Yıldız Akıl, Taylan Şengül and Burhan Tiryakioglu, The Exact Formulation of the First Transition Number in Nonlinear Reaction-Diffusion Equations, The 3rd International Conference on Applied Mathematics in Engineering (ICAME-2024), Balıkesir, Turkey, 2024.
  3. Esmanur Yıldız Akıl, Taylan Şengül and Burhan Tiryakioglu, Dynamics of Reaction-Diffusion Equations with Cosine Basis Set, 7th International HYBRID Conference on Mathematical Advances and Applications (ICOMAA-2024), İstanbul, Turkey, 2024.
  4. Ayşe Tiryakioglu and Burhan Tiryakioglu, Wiener-Hopf Analysis of Acoustic Waves from a Coaxial Pipe, 4th International Eurasian Conference on Science, Engineering and Technology (EurasianSciEnTech-2022), Ankara, Turkey, 2022.
  5. Burhan Tiryakioglu, Analysis of Sound Waves in a Cavity with Lined and Perforated Screen, 10th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2021), Sakarya, Turkey, 2021.
  6. Burhan Tiryakioglu, A Note on Ring Source Over Semi-Infinite Lined and Perforated Duct, 9th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2020), Skopje, North Macedonia, 2020.
  7. Burhan Tiryakioglu, Mode Matching Technique for Analysis of Sound Wave in an Infinite Duct with Different Linings, 3rd International E-Conference on Mathematical Advances and Applications, İstanbul, Turkey, 2020.
  8. Ayşe Tiryakioglu and Burhan Tiryakioglu, Radiation of Sound Waves from Stepped and Lined Duct, 8th International Conference on Engineering & Natural Sciences, Ankara, Turkey, 2020.
  9. Burhan Tiryakioglu, A Wiener-Hopf Analysis of the Rigid Pipe with Finite Perforated Part, 3rd International Congress on Statistics Mathematics and Analytical Methods, Istanbul, Turkey, 2020.
  10. Burhan Tiryakioglu, Analysis of Sound Waves with Semi Perforated Pipe (Full Paper), 7th International Symposium on Innovative Technologies in Engineering and Science (ISITES-2019), SanliUrfa, Turkey, 2019.
  11. Burhan Tiryakioglu, Diffraction of Sound Waves Emanating from a Ring Source with Lined Pipe, Operators, Functions and Systems of Mathematical Physics Conference, Baku, Azerbaijan, 2018.
  12. Burhan Tiryakioglu and Ahmet Demir, Radiation of Sound Waves from a Semi-Infinite Rigid Duct by Local Outer Lining (Full Paper), 5th International Symposium on Innovative Technologies in Engineering and Science (ISITES-2017), Baku, Azerbaijan, 2017.
  13. Burhan Tiryakioglu and Ahmet Demir, Diffraction of Acoustic Waves by a Semi-Infinite Pipe with Finite Impedance Discontinuity (Full Paper), 4th International Symposium on Innovative Technologies in Engineering and Science (ISITES-2016), Antalya, Turkey, 2016.
  14. Burhan Tiryakioglu and Ahmet Demir, Analysis of Sound Diffraction from a Duct with Exterior Surface Impedance, 4th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2015), Athens, Greece, 2015.
  15. Ahmet Demir and Burhan Tiryakioglu, Scattering Matrices in a Lined Duct with Sudden Area Changes (Full Paper), 9th International Conference on Applied Mathematics, Simulation, Modelling (ASM-15), Konya, Turkey, 2015.
  16. Burhan Tiryakioglu and Ahmet Demir, Sound Diffraction from a Semi-Infinite Circular Cylindrical Duct with Outer Wall Impedance (Full Paper), 9th International Conference on Applied Mathematics, Simulation, Modelling (ASM-15), Konya, Turkey, 2015.
  17. Burhan Tiryakioglu and Ahmet Demir, Diffraction of Sound Waves from a Semi-Infinite Circular Cylindrical Pipe with an Acoustically Absorbing External Surface, 2nd International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2013), Sarajevo, Bosnia and Herzegovina, 2013.

National Conference Proceedings:

  1. Esmanur Yıldız Akıl, Taylan Şengül and Burhan Tiryakioglu, Yüksek Mertebeli Doğrusal Olmayan Reaksiyon-Difüzyon Denklemlerinde Dinamik Geçişler, 35. Ulusal Matematik Sempozyumu (UMS-2023), Edirne, Türkiye, 2023.