Arş. G&#246;r. GAMZE YILDIRIM

TURKISH JOURNAL OF MATHEMATICS , cilt.48, sa.6, ss.1156-1182, 2024 (SCI-Expanded)

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 , cilt.141, sa.1, ss.281-310, 2024 (SCI-Expanded)

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 , cilt.24, sa.3, ss.1003-1021, 2023 (SCI-Expanded)

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

TURKISH JOURNAL OF MATHEMATICS , cilt.47, sa.1, ss.37-55, 2023 (SCI-Expanded)

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

Journal of Taibah University for Science , cilt.17, sa.1, 2023 (SCI-Expanded)

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 , cilt.11, sa.3, ss.697-719, 2023 (SCI-Expanded)

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

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

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

Ricerche di Matematica , 2022 (SCI-Expanded)

Legendre Collocation Method to Solve the Riccati Equations with Functional Arguments

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS , cilt.17, sa.10, 2020 (SCI-Expanded)

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

TURKISH JOURNAL OF MATHEMATICS , cilt.44, sa.4, ss.1065-1091, 2020 (SCI-Expanded)

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

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE , cilt.14, sa.1, ss.1262-1278, 2020 (SCI-Expanded)

Diğer Dergilerde Yayınlanan Makaleler

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

Fundamentals of contemporary mathematical sciences (Online) , cilt.6, sa.1, ss.59-74, 2025 (Hakemli Dergi)

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

Turkish Journal of Mathematics and Computer Science , cilt.16, sa.1, ss.240-254, 2024 (Hakemli Dergi)

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

Fundamentals of Contemporary Mathematical Sciences , cilt.3, 2022 (Hakemli Dergi)

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

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS , cilt.9, sa.2, ss.553-576, 2021 (ESCI)

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 , cilt.10, ss.222-241, 2018 (Hakemli Dergi)

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler

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, Fransa, 23 - 27 Ağustos 2023, ss.195-206

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

5. INTERNATIONAL PALANDOKEN SCIENTIFIC STUDIES CONGRESS , Erzurum, Türkiye, 18 - 19 Mart 2023, ss.825-832, (Tam Metin Bildiri)

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

5. INTERNATIONAL PALANDOKEN SCIENTIFIC STUDIES CONGRESS, Erzurum, Türkiye, 18 - 19 Mart 2023, ss.814-824

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, Türkiye, 11 - 12 Mart 2023, ss.234-242

Approximate Solution Of Logistic Growth Model Via Lerch Collocation Method

4. INTERNATIONAL SCIENTIFIC RESEARCH AND INNOVATION CONGRESS, İstanbul, Türkiye, 11 - 12 Mart 2023, ss.224-233

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, Türkiye, 20 - 23 Temmuz 2022, ss.349-357

APPROXIMATE SOLUTION OF THE DUFFING EQUATION BY USING FIRST BOUBAKER POLYNOMIALS

3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Türkiye, 20 - 23 Temmuz 2022, ss.369-378, (Tam Metin Bildiri)

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, Türkiye, 20 - 23 Temmuz 2022, ss.359-367

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

3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Türkiye, 20 - 23 Temmuz 2022, ss.379-389

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, Azerbaycan, 20 - 22 Mayıs 2022, ss.192, (Özet Bildiri)

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, Azerbaycan, 20 - 22 Mayıs 2022, ss.193, (Özet Bildiri)

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, Türkiye, 10 - 13 Mayıs 2022, ss.2434-2438

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

1st International Conference on Engineering and Applied Natural Sciences, Konya, Türkiye, 10 - 13 Mayıs 2022, ss.2426-2433, (Tam Metin Bildiri)

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, Türkiye, 10 - 13 Mayıs 2022, ss.2439-2443

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, Türkiye, 26 - 29 Mayıs 2021, ss.347-357

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, Türkiye, 26 - 29 Mayıs 2021, ss.358-368

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

2. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY, Ankara, Türkiye, 20 Mayıs 2021, ss.24-36, (Tam Metin Bildiri)

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

2. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY, Ankara, Türkiye, 20 Mayıs 2021, ss.74-85

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, Türkiye, 20 Mayıs 2021, ss.48-58

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, Türkiye, 20 Mayıs 2021, ss.59-73

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

2. INTERNATIONAL CONGRESS ON MATHEMATICS AND GEOMETRY, Ankara, Türkiye, 20 Mayıs 2021, ss.37-47

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, Azerbaycan, 2 - 04 Mayıs 2021, ss.150-159

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, Azerbaycan, 2 - 04 Mayıs 2021, ss.139-149, (Tam Metin Bildiri)

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, Azerbaycan, 2 - 04 Mayıs 2021, ss.160-169

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, Türkiye, 09 Aralık 2020, ss.17-31

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, Türkiye, 09 Aralık 2020, ss.32-46

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, Kazakistan, 14 - 15 Kasım 2020, ss.54-67

Kitaplar

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