Res. Asst. GAMZE YILDIRIM

Journal of Thermal Stresses , vol.49, no.3, pp.358-375, 2026 (SCI-Expanded, Scopus)

2. A collocation method for solving the Darcy–Brinkman–Forchheimer equation and the quartic strongly nonlinear heat transfer equation

YÜZBAŞI Ş., Yıldırım G.

Engineering Computations (Swansea, Wales) , pp.1-22, 2026 (SCI-Expanded, Scopus)

3. Clique Collocation Method to Solve the Third-Order Multisingular (MS) Functional Differential Equations

Fundamentals of contemporary mathematical sciences (Online) , vol.6, no.1, pp.59-74, 2025 (Peer-Reviewed Journal)

4. Numerical solutions and simulations of the fractional COVID-19 model via Pell–Lucas collocation algorithm

YILDIRIM G., Yüzbaşı Ş.

Mathematical Methods in the Applied Sciences , vol.47, no.18, pp.14457-14475, 2024 (SCI-Expanded)

5. Numerical solutions of SIRD model of Covid-19 by utilizing Pell-Lucas collocation method

TURKISH JOURNAL OF MATHEMATICS , vol.48, no.6, pp.1156-1182, 2024 (SCI-Expanded, Scopus)

6. A Collocation Technique via Pell-Lucas Polynomials to Solve Fractional Differential Equation Model for HIV/AIDS with Treatment Compartment

CMES - COMPUTER MODELING IN ENGINEERING AND SCIENCES , vol.141, no.1, pp.281-310, 2024 (SCI-Expanded, Scopus)

7. Boubaker Collocation Method for Approximate Solutions of the Model of Pollution for a System of Lakes

Turkish Journal of Mathematics and Computer Science , vol.16, no.1, pp.240-254, 2024 (Peer-Reviewed Journal)

8. Numerical solutions of the Bagley-Torvik equation by using generalized functions with fractional powers of Laguerre polynomials

Yüzbaşl Ş., Ylldlrlm G.

International Journal of Nonlinear Sciences and Numerical Simulation , vol.24, no.3, pp.1003-1021, 2023 (SCI-Expanded)

9. Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays

TURKISH JOURNAL OF MATHEMATICS , vol.47, no.1, pp.37-55, 2023 (SCI-Expanded, Scopus, TRDizin)

10. A numerical approach to solve hyperbolic telegraph equations via Pell–Lucas polynomials

Journal of Taibah University for Science , vol.17, no.1, 2023 (SCI-Expanded, Scopus)

11. A Pell–Lucas Collocation Approach for an SIR Model on the Spread of the Novel Coronavirus (SARS CoV-2) Pandemic: The Case of Turkey

MATHEMATICS , vol.11, no.3, pp.697-719, 2023 (SCI-Expanded, Scopus)

12. A collocation method to solve the parabolic-type partial integro-differential equations via Pell–Lucas polynomials

Applied Mathematics and Computation , vol.421, 2022 (SCI-Expanded)

13. A Pell-Lucas approximation to solve the Abel equation of the second kind

Ricerche di Matematica , 2022 (SCI-Expanded, Scopus)

14. Pell-Lucas Collocation Method to Solve Second-Order Nonlinear Lane-Emden Type Pantograph Differential Equations

Fundamentals of Contemporary Mathematical Sciences , vol.3, 2022 (Peer-Reviewed Journal)

15. A Laguerre approach for solving of the systems of linear differential equations and residual improvement

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS , vol.9, no.2, pp.553-576, 2021 (ESCI)

16. Legendre Collocation Method to Solve the Riccati Equations with Functional Arguments

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS , vol.17, no.10, 2020 (SCI-Expanded)

17. Pell-Lucas collocation method to solve high-order linear Fredholm-Volterra integro-differential equations and residual correction

TURKISH JOURNAL OF MATHEMATICS , vol.44, no.4, pp.1065-1091, 2020 (SCI-Expanded, Scopus, TRDizin)

18. Pell-Lucas collocation method for numerical solutions of two population models and residual correction

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE , vol.14, no.1, pp.1262-1278, 2020 (SCI-Expanded)

19. Laguerre Collocation Method for Solutions of The Systems of First Order Linear Differential Equations

YÜZBAŞI Ş., Yıldırım G.

Turkish Journal of Mathematics and Computer Science , vol.10, pp.222-241, 2018 (TRDizin)

Papers Presented at Peer-Reviewed Scientific Conferences 32

1. A collocation method based on Lerch polynomials for solving the Hantavirus infection model

The 6th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas, Paris, France, 23 - 27 August 2023, pp.195-206, (Full Text)

2. AN OPERATIONAL METHOD FOR SOLVING THE RICCATI DIFFERENTIAL EQUATION BY USING FERMAT POLYNOMIALS

5. INTERNATIONAL PALANDOKEN SCIENTIFIC STUDIES CONGRESS , Erzurum, Turkey, 18 - 19 March 2023, pp.825-832, (Full Text)

3. A COLLOCATION METHOD BASED ON LERCH POLYNOMIALS TO SOLVE THE PREDATORPREY MODEL

5. INTERNATIONAL PALANDOKEN SCIENTIFIC STUDIES CONGRESS, Erzurum, Turkey, 18 - 19 March 2023, pp.814-824, (Full Text)

4. NUMERICAL SOLUTION OF THE ABEL DIFFERENTIAL EQUATION BY USING AN OPERATIONAL MATRIX METHOD BASED ON PELL-LUCAS POLYNOMIALS

4. INTERNATIONAL SCIENTIFIC RESEARCH AND INNOVATION CONGRESS, İstanbul, Turkey, 11 - 12 March 2023, pp.234-242, (Full Text)

5. Approximate Solution Of Logistic Growth Model Via Lerch Collocation Method

4. INTERNATIONAL SCIENTIFIC RESEARCH AND INNOVATION CONGRESS, İstanbul, Turkey, 11 - 12 March 2023, pp.224-233, (Full Text)

6. AN OPERATIONAL MATRIX METHOD FOR APPROXIMATE SOLUTIONS OF A CLASS OF THE SYSTEM OF THE DIFFERENTIAL EQUATIONS WITH DELAY-TERMS

3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Turkey, 20 - 23 July 2022, pp.349-357, (Full Text)

7. APPROXIMATE SOLUTION OF THE DUFFING EQUATION BY USING FIRST BOUBAKER POLYNOMIALS

3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Turkey, 20 - 23 July 2022, pp.369-378, (Full Text)

8. AN OPERATIONAL METHOD BASED ON THE FIRST TYPE SHIFTED CHEBYSHEV POLYNOMIALS FOR SOLVİNG NONLINEAR LANE-EMDEN TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS

3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Turkey, 20 - 23 July 2022, pp.359-367, (Full Text)

9. FERMAT COLLOCATION APPROACH FOR SOLVING THE PREDATOR-PREY SYSTEM WITH ONE DISCRETE DELAY

3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Turkey, 20 - 23 July 2022, pp.379-389, (Full Text)

10. BOUBAKER COLLOCATION METHOD FOR APPROXIMATE SOLUTIONS OF THE MODEL OF POLLUTION FOR A SYSTEM OF LAKES

International Conference on Artificial Intelligence and Applied Mathematics 2022 (ICAIAME 2022), Baku, Azerbaijan, 20 - 22 May 2022, pp.192, (Summary Text)

11. NUMERICAL SOLUTIONS OF HANTAVIRUS INFECTION MODEL BY MEANS OF THE GENERALIZED BERNSTEIN POLYNOMIALS

International Conference on Artificial Intelligence and Applied Mathematics 2022 (ICAIAME 2022), Baku, Azerbaijan, 20 - 22 May 2022, pp.193, (Summary Text)

12. An operational method based on the first type shifted Chebyshev polynomials for linear delay diferential equations with variable coefficients

1st International Conference on Engineering and Applied Natural Sciences, Konya, Turkey, 10 - 13 May 2022, pp.2434-2438, (Full Text)

13. Applications of Pell-Lucas collocation method for Bratu-type problem with boundary conditions

1st International Conference on Engineering and Applied Natural Sciences, Konya, Turkey, 10 - 13 May 2022, pp.2426-2433, (Full Text)

14. An operational matrix method for approximate solutions of mass-spring system with two freedom degree

1st International Conference on Engineering and Applied Natural Sciences, Konya, Turkey, 10 - 13 May 2022, pp.2439-2443, (Full Text)

15. A NUMERICAL APPROACH TO LANE-EMDEN TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH THE HELP OF AN OPERATIONAL MATRIX METHOD

13th International Conference of Strategic Research on Scientific Studies and Education (ICoSReSSE), Antalya, Turkey, 26 - 29 May 2021, pp.347-357, (Full Text)

16. PELL-LUCAS COLLOCATION METHOD FOR THE APPROXIMATE SOLUTIONS OF THE SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS (BVPs)

13th International Conference of Strategic Research on Scientific Studies and Education (ICoSReSSE), Antalya, Turkey, 26 - 29 May 2021, pp.358-368, (Full Text)

17. APPROXIMATE SOLUTIONS OF SINGULAR PERTURBATED DELAY DIFFERENTIAL EQUATIONS WITH THE HELP OF THE LEGENDRE COLLOCATION METHOD

2. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY, Ankara, Turkey, 20 May 2021, pp.24-36, (Full Text)

18. APPROXIMATE SOLUTIONS OF THE LANE-EMDEN TYPE DIFFERENTIAL-DIFFERENCE EQUATIONS BY USING FERMAT POLYNOMIALS

2. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY, Ankara, Turkey, 20 May 2021, pp.74-85, (Full Text)

19. AN OPERATIONAL MATRIX METHOD FOR THE APPROXIMATE SOLUTIONS OF THE VISCOUSLY DAMPED SINGLE DEGREE OF FREEDOM SYSTEM SUBJECTED TO HARMONIC EXCITATION

2. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY, Ankara, Turkey, 20 May 2021, pp.48-58, (Full Text)

20. THE APPROXIMATE SOLUTIONS OF THE FREEDOM VIBRATION EQUATIONS OF THE MASS-SPRING SYSTEM WITH TWO FREEDOM DEGREE: PELL-LUCAS MATRIX METHOD

2. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY, Ankara, Turkey, 20 May 2021, pp.59-73, (Full Text)

21. APPROXIMATE SOLUTIONS OF THE NONLINEAR LANE-EMDEN DIFFERENTIAL EQUATIONS USİNG AN OPERATIONAL MATRIX METHOD

2. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY, Ankara, Turkey, 20 May 2021, pp.37-47, (Full Text)

22. A COLLOCATION METHOD FOR THE APPROXIMATE SOLUTION OF LINEAR NEUTRAL DELAYED DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENT

Yildirim G., Yüzbaşi Ş.

AL-FARABI INTERNATIONAL CONGRESS ON APPLIED SCIENCES-II, Nakhchivan, Azerbaijan, 2 - 04 May 2021, pp.150-159, (Full Text)

23. AN OPERATIONAL MATRIX METHOD FOR NUMERICAL SOLUTIONS OF SINGULARLY PERTURBATED DIFFERENTIAL EQUATIONS

Yüzbaşi Ş., Yildirim G.

AL-FARABI INTERNATIONAL CONGRESS ON APPLIED SCIENCES - II, Nakhchivan, Azerbaijan, 2 - 04 May 2021, pp.139-149, (Full Text)

24. APPROXIMATE SOLUTIONS OF SINGULAR PERTURBATED DELAY DIFFERENTIAL EQUATIONS WITH THE HELP OF THE BERNSTEIN COLLOCATION METHOD

Yüzbaşi Ş., Yildirim G.

AL-FARABI INTERNATIONAL CONGRESS ON APPLIED SCIENCES-II, Nakhchivan, Azerbaijan, 2 - 04 May 2021, pp.160-169, (Full Text)

25. NUMERICAL SOLUTIONS OF THE LINEAR LANE-EMDEN DIFFERENTIAL EQUATIONS BY USING THE MORGAN-VOYCE FUNCTIONS AND RESIDUAL CORRECTIONS

YILDIRIM G., YÜZBAŞI Ş.

1.INTERNATIONAL CONGRESSON MATHEMATICS AND GEOMETRY, Ankara, Turkey, 09 December 2020, pp.17-31, (Full Text)

26. AN OPERATIONAL MATRIX METHOD FOR THE SYSTEMS OF HIGHER-ORDER LINEAR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS BY USING THE PELLLUCAS FUNCTIONS

1.INTERNATIONAL CONGRESSON MATHEMATICS AND GEOMETRY, Ankara, Turkey, 09 December 2020, pp.32-46, (Full Text)

27. An operational matrix method based on Chebyshev polynomials for approximate solutions of systems of higher order linear Fredholm integro-differential equations

TURK-COSE 2020, Nur-Sultan, Kazakhstan, 14 - 15 November 2020, pp.54-67, (Full Text)

32. Bessel collocation method to determinate the curves of constant breadth according to Bishop Frame in Euclidean 3-space

YÜZBAŞI Ş., Yıldırım G.

15th International Geometry Symposium, Amasya, Turkey, 03 July 2017, pp.86, (Summary Text)

Books 1

1. Numerical Solutions of Hantavirus Infection Model by Means of the Bernstein Polynomials